Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Weighted inequalities for classical operators

2014/14/E/ST1/00532

Keywords:

weight Muckenhoupt condition singular operator Fourier multiplier square function Bellman function

Descriptors:

  • ST1_8: Analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Adam Osękowski 

Number of co-investigators in the project: 3

Call: SONATA BIS 4 - announced on 2014-06-16

Amount awarded: 253 400 PLN

Project start date (Y-m-d): 2015-05-20

Project end date (Y-m-d): 2020-03-19

Project duration:: 58 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny (laptop) (3 000 PLN)
  2. Komputer przenośny (laptop) (2 szt.) (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (53)
  • Book publications / chapters in book publications (1)
  1. A weighted weak-type bound for Haar multipliers
    Authors:
    Adam Osękowski
    Academic press:
    The Royal Society of Edinburgh Proceedings A (Mathematics) (rok: 2018, tom: 148A, strony: 643-658), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0308210517000415 - link to the publication
  2. Sharp weighted bounds for geometric maximal operators
    Authors:
    Adam Osękowski
    Academic press:
    Glasgow Mathematical Journal (rok: 2017, tom: 59, strony: 533-547), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089516000331 - link to the publication
  3. Sharp weighted weak type (∞,∞) inequality for differentially subordinate martingales
    Authors:
    Michał Brzozowski, Adam Osękowski
    Academic press:
    Statistics and Probability Letters (rok: 2019, tom: 62, strony: 108561), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2019.108561 - link to the publication
  4. A maximal inequality for stochastic integrals
    Authors:
    Mateusz Rapicki
    Academic press:
    Probability and Mathematical Statistics (rok: 2016, tom: 36, strony: 311-333), Wydawca: WYDAWNICTWO UNIWERSYTETU WROCLAWSKIEGO, PL. UNIWERSYTECKI 15, WROCLAW, 50-137, POLAND
    Status:
    Published
    DOI:
    brak - link to the publication
  5. A weak-L^\infty inequality for weakly dominated martingales with applications to Haar shift operators
    Authors:
    Meryem Akboudj; Yong Jiao, Adam Osękowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2021, tom: 493, strony: 124547), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2020.124547 - link to the publication
  6. Burkholder's function and a weighted L^2 bound for stochastic integrals
    Authors:
    Rodrigo Bañuelos, Michał Brzozowski, Adam Osekowski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2020, tom: 148, strony: 5013-5028), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15136 - link to the publication
  7. On the best constant in the estimate related to $H^1-BMO$ duality
    Authors:
    Adam Osękowski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2021, tom: 149, strony: 333-343), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15234 - link to the publication
  8. Sharp Lorentz-norm estimates for dyadic-like maximal operators
    Authors:
    Adam Osękowski, Mateusz Rapicki
    Academic press:
    Studia Mathematica (rok: 2021, tom: 257, strony: 87-110), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/sm191111-24-5 - link to the publication
  9. Sharp weak type inequalities for fractional integral operators
    Authors:
    Rodrigo Banuelos, Adam Osękowski
    Academic press:
    Potential Analysis (rok: 2017, tom: 47, strony: 103-121), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s11118-016-9610-x - link to the publication
  10. Sharp weighted weak-norm estimates for maximal functions
    Authors:
    Michał Brzozowski, Adam Osękowski, Mateusz Rapicki
    Academic press:
    Statistics and Probability Letters (rok: 2017, tom: 131, strony: 93-101), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.spl.2017.08.011 - link to the publication
  11. Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers
    Authors:
    Rodrigo Banuelos, Adam Osękowski
    Academic press:
    Journal de Mathématiques Pures et Appliqués (rok: 2018, tom: 119, strony: 16072), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.matpur.2018.09.001 - link to the publication
  12. Weighted L^2 inequalities for square functions
    Authors:
    Rodrigo Banuelos, Adam Osękowski
    Academic press:
    Transactions of the American Mathematical Society (rok: 2018, tom: 370, strony: 2391-2422), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7056 - link to the publication
  13. Weighted weak-type inequality for martingales
    Authors:
    Adam Osękowski
    Academic press:
    Bulletin of the Polish Academy of Sciences Mathematics (rok: 2017, tom: 65, strony: 165-175), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/ba8096-11-2017 - link to the publication
  14. On the action of the Hilbert transform on l1N-valued functions
    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (rok: 2019, tom: 146, strony: 213-223), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2018.11.022 - link to the publication
  15. Best constants in Muckenhoupt's inequality
    Authors:
    Adam Osękowski
    Academic press:
    Annales Academiae Scientiarum Fennicae Mathematica (rok: 2017, tom: 42, strony: 889-904), Wydawca: SUOMALAINEN TIEDEAKATEMIA
    Status:
    Published
    DOI:
    10.5186/aasfm.2017.4256 - link to the publication
  16. Best constants in weighted estimates for dyadic shifts
    Authors:
    Adam Osękowski
    Academic press:
    Integral Equations and Operator Theory (rok: 2021, tom: 93, strony: 45309), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-020-02614-4 - link to the publication
  17. Explicit counterexamples for weak Muckenhoupt-Wheeden conjecture
    Authors:
    Adam Osękowski
    Academic press:
    Mathematische Zeitschrift (rok: 2021, tom: 298, strony: 1727-1734), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-020-02656-9 - link to the publication
  18. Inequalities for noncommutative differentially subordinate martingales
    Authors:
    Yong Jiao, Adam Osękowski, Lian Wu
    Academic press:
    Advances in Mathematics (rok: 2018, tom: 337, strony: 216-259), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.08.016 - link to the publication
  19. Sharp maximal L^p-bounds for continuous martingales and their differential subordinates
    Authors:
    Adam Osękowski, Yahui Zuo
    Academic press:
    Electronic Journal of Probability (rok: 2021, tom: 26, strony: 45313), Wydawca: Institute of Mathematical Statistics, Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/21-EJP596 - link to the publication
  20. Sharp weak-type (p,p) estimates (1
    Authors:
    Adam Osękowski
    Academic press:
    Mediterranean Journal of Mathematics (rok: 2021, tom: 18, strony: 45308), Wydawca: Department of Mathematics of the University of Bari
    Status:
    Published
    DOI:
    10.1007/s00009-020-01655-8 - link to the publication
  21. Strong differential subordinates for non-commutative submartingales
    Authors:
    Yong Jiao, Adam Osękowski, Lian Wu
    Academic press:
    Annals of Probability (rok: 2019, tom: 47, strony: 3108-3142), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/18-AOP1334 - link to the publication
  22. Two-weight inequalities for geometric maximal operators
    Authors:
    Adam Osękowski
    Academic press:
    Mathematical Inequalities and Applications (rok: 2017, tom: 20, strony: 1121-1138), Wydawca: Publishing House Element d.o.o., Zagreb, Croatia
    Status:
    Published
    DOI:
    10.7153/mia-2017-20-72 - link to the publication
  23. Weighted inequalities for the martingale square and maximal functions
    Authors:
    Adam Osękowski
    Academic press:
    Statistics & Probability Letters (rok: 2017, tom: 120, strony: 95–100), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.spl.2016.09.020 - link to the publication
  24. Weighted maximal inequalities for the Haar system
    Authors:
    Adam Osękowski
    Academic press:
    Monatschefte für Mathematik (rok: 2018, tom: 186, strony: 321-336), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s00605-018-1184-9 - link to the publication
  25. Bounds for second-order Riesz transforms associated with Dunkl expansion
    Authors:
    Adam Osękowski
    Academic press:
    Chinese Annals of Mathematics Ser.B , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  26. A sharp estimate for Muckenhoupt class A_\infty and BMO
    Authors:
    Adam Osękowski
    Academic press:
    Positivity (rok: 2019, tom: 23, strony: 711-725), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s11117-018-0634-x - link to the publication
  27. A weighted maximal weak-type inequality
    Authors:
    Adam Osękowski, Mateusz Rapicki
    Academic press:
    Mathematika (rok: 2021, tom: 67, strony: 145-157), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/mtk.12065 - link to the publication
  28. On the best constant in the martingale version of Fefferman's inequality
    Authors:
    Adam Osękowski
    Academic press:
    Bernoulli Mathematical Journal (rok: 2020, tom: 26, strony: 1912-1926), Wydawca: Bernoulli Society for Mathematical Statistics and Probability, International Statistical Institute
    Status:
    Published
    DOI:
    10.3150/19-BEJ1175 - link to the publication
  29. Weighted inequalities for martingale transforms and stochastic integrals
    Authors:
    Adam Osękowski
    Academic press:
    Mathematika (rok: 2017, tom: 63, strony: 433-450), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/S0025579316000322 - link to the publication
  30. Weighted maximal inequality for differentially subordinate martingales
    Authors:
    Adam Osękowski
    Academic press:
    Electronic Communications in Probability (rok: 2016, tom: 21, strony: 45301), Wydawca: Institute of Mathematical Statistics, Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/16-ECP4586 - link to the publication
  31. Weighted weak-type inequalities for square functions
    Authors:
    Adam Osękowski
    Academic press:
    Mathematical Inequalities and Applications (rok: 2020, tom: 23, strony: 267-286), Wydawca: Publishing House Element d.o.o., Zagreb, Croatia
    Status:
    Published
    DOI:
    10.7153/mia-2020-23-21 - link to the publication
  32. An extension of a Hardy's inequality and its applications
    Authors:
    Łukasz Kamiński, Adam Osękowski
    Academic press:
    Mathematical Inequalities and Applications , Wydawca: Publishing House Element d.o.o., Zagreb, Croatia
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  33. The dual conjecture of Muckenhoupt and Wheeden
    Authors:
    Adam Osękowski
    Academic press:
    Revista Matemática Iberoamericana , Wydawca: European Mathematical Society
    Status:
    Accepted for publication
    DOI:
    10.4171/rmi/1264 - link to the publication
  34. Sharp weighted inequalities for harmonic maximal operators
    Authors:
    Adam Osękowski, Mateusz Rapicki
    Academic press:
    New York Journal of Mathematics , Wydawca: Electronic Journals Project
    Status:
    Submitted
    DOI:
    brak - link to the publication
  35. A note on H 1 −BMO duality
    Authors:
    Adam Osękowski
    Academic press:
    Archiv der Mathematik (rok: 2020, tom: 114, strony: 687-697), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-020-01456-1 - link to the publication
  36. Embedding BMO into weighted BMO
    Authors:
    Adam Osękowski
    Academic press:
    Publicacions Matemàtiques (rok: 2021, tom: 65, strony: 335-361), Wydawca: Department of Mathematics of the Universitat Autònoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6512112 - link to the publication
  37. On $A_p-A_q$ weighted estimates for maximal operators
    Authors:
    Adam Osękowski
    Academic press:
    Annales Academiae Scientiarum Fennicae, Mathematica (rok: 2020, tom: 45, strony: 1171-1185), Wydawca: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2020.4544 - link to the publication
  38. Sharp weighted logarithmic bound for maximal operators
    Authors:
    Adam Osękowski
    Academic press:
    Archiv der Mathematik (rok: 2016, tom: 107, strony: 635–644), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s00013-016-0980-5 - link to the publication
  39. Square function inequalities for monotone bases in L^1
    Authors:
    Adam Osękowski
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2018, tom: 12, strony: 693-708), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2018-0004 - link to the publication
  40. Weighted Inequalities for the Dyadic Square Function
    Authors:
    Adam Osękowski
    Academic press:
    Integral Equations and Operator Theory (rok: 2016, tom: 85, strony: 359–380), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s00020-016-2286-1 - link to the publication
  41. Weighted maximal inequalities for martingale transforms
    Authors:
    Michał Brzozowski, Adam Osękowski
    Academic press:
    Probability and Mathematical Statistics (rok: 2021, tom: 41, strony: 89-114), Wydawca: Wydawnictwo Uniwersytetu Wrocławskiego, Pl. Uniwersytecki 15, Wrocław, 50-137, Polska
    Status:
    Published
    DOI:
    10.37190/0208-4147.41.1.7 - link to the publication
  42. Weighted square function estimates
    Authors:
    Rodrigo Banuelos, Adam Osękowski
    Academic press:
    Bulletin des Sciences Mathématiques , Wydawca: Elsevier B.V.
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  43. A Fefferman-Stein inequality for the martingale square and maximal functions
    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (rok: 2017, tom: 129, strony: 81-85), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2017.05.008 - link to the publication
  44. A ratio inequality for nonnegative martingales and their differential subordinates
    Authors:
    Adam Osękowski
    Academic press:
    Electronic Communications in Probability (rok: 2020, tom: 25, strony: 45303), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/20-ECP301 - link to the publication
  45. A weighted inequality for a dyadic-like maximal operator
    Authors:
    Mateusz Rapicki
    Academic press:
    Analysis Mathematica (rok: 2018, tom: 44, strony: 577-585), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s10476-017-0604-8 - link to the publication
  46. A weighted maximal inequality for differentially subordinate martingales
    Authors:
    Rodrigo Banuelos, Adam Osękowski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2018, tom: 146, strony: 2263-2275), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13912 - link to the publication
  47. Inequalities for second-order Riesz transforms associated with Bessel expansion
    Authors:
    Adam Osękowski
    Academic press:
    Bulletin of the Polish Academy of Sciences - Mathematics (rok: 2021, tom: 68, strony: 75-88), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/ba200302-5-10 - link to the publication
  48. On Carlson-Levin inequalities
    Authors:
    Adam Osękowski
    Academic press:
    Analysis Mathematica (rok: 2016, tom: 42, strony: 55-67), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s10476-016-0105-1 - link to the publication
  49. Sharp Lp-bounds for the martingale maximal function
    Authors:
    Adam Osękowski
    Academic press:
    Tohoku Mathematical Journal (rok: 2018, tom: 70, strony: 121-138), Wydawca: Mathematical Institute of Tohoku University
    Status:
    Published
    DOI:
    10.2748/tmj/1520564421 - link to the publication
  50. Sharp logarithmic estimates for positive dyadic shifts
    Authors:
    Adam Osękowski
    Academic press:
    Advances in Mathematics (rok: 2018, tom: 324, strony: 118-147), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2017.11.004 - link to the publication
  51. Weak-$L^\infty$ inequality for non-symmetric martingale transforms and Haar system
    Authors:
    Meryem Akboudj, Yong Jiao, Adam Osękowski
    Academic press:
    Statistics and Probability Letters (rok: 2020, tom: 163, strony: 108778), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2020.108778 - link to the publication
  52. Weighted square function inequalities
    Authors:
    Adam Osękowski
    Academic press:
    Publicacions Matematiques (rok: 2018, tom: 62, strony: 75-94), Wydawca: Department of Mathematics of the Universitat Autònoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6211804 - link to the publication
  53. The Hilbert transform and orthogonal martingales in Banach spaces
    Authors:
    Adam Osękowski, Ivan Yaroslavtsev
    Academic press:
    International Mathematics Research Notices , Wydawca: Oxford Academic
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnz187 - link to the publication
  1. Various sharp estimates for semi-discrete Riesz transforms of the second order
    Authors:
    Komla Domelevo, Adam Osękowski, Stefanie Petermichl
    Book:
    Operator Theory: Advances and Applications, (rok: 2018, tom: 261, strony: 229-255), Wydawca: Birkhauser
    Status:
    Published

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