Zmiana języka

Projects search

Probabilistic inequalities

2012/05/B/ST1/00412

Keywords

Descriptors

  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna

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

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Rafał Latała

Number of co-investigators in the project: 9

Call

OPUS 3 – announced on 2012-03-15

Amount awarded
616 720 PLN
Project start date
2013-02-06
Project end date
2016-02-05
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Laserowe urządzenie wielofunkcyjne. Cost: 800 PLN
  2. komputer stacjonarny z monitorem LCD. Cost: 4 000 PLN
  3. laptop. Cost: 4 000 PLN
  4. laptop. Cost: 4 200 PLN

Information in the final report

Publication in academic press/journals (46)

  1. Maximal weak-type inequality for stochastic integrals

    Authors:
    Adam Osękowski
    Academic press:
    Electronic Communications in Probability (year: 2014, volume: Article 25, pages: 46035), Publisher: IMS
    Status:
    Published
    DOI:
    10.1214/ECP.v19-3151 – link to the publication

  2. Sharp L^2 log L inequalities for the Haar system and martingale transforms

    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (year: 2014, volume: 94, pages: 91-97), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2014.07.006 – link to the publication

  3. Sharp Weak Type Inequality for Fractional Integral Operators Associated with d-Dimensional Walsh-Fourier Series

    Authors:
    Adam Osękowski
    Academic press:
    Integral Equations and Operator Theory (year: 2014, volume: 78, pages: 589-600), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-013-2116-7 – link to the publication

  4. Sharp maximal estimates for BMO martingales

    Authors:
    Adam Osękowski
    Academic press:
    Osaka Journal of Mathematics (year: 2015, volume: 52, pages: 1125-1143), Publisher: Kinokuniya Company
    Status:
    Published

  5. A weak-type inequality for the martingale square function

    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (year: 2014, volume: 95, pages: 139-143), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2014.08.019 – link to the publication

  6. Sharp inequalities for BMO functions

    Authors:
    Adam Osękowski
    Academic press:
    Chinese Annals of Mathematics, Series B (year: 2015, volume: 36, pages: 225-236), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11401-015-0887-7 – link to the publication

  7. Sharp L^{p,infty} to L^q estimates for the dyadic-like maximal operators

    Authors:
    Adam Osękowski
    Academic press:
    Journal of Fourier Analysis and Applications (year: 2014, volume: 20, pages: 911-933), Publisher: Birhauser
    Status:
    Published
    DOI:
    10.1007/s00041-014-9338-1 – link to the publication

  8. Maximal inequalities for functions of bounded lower oscillation

    Authors:
    Adam Osękowski
    Academic press:
    Kyushu Journal of Mathematics (year: 2014, volume: 68, pages: 297-306), Publisher: Kyushu University
    Status:
    Published
    DOI:
    10.2206/kyushujm.68.297 – link to the publication

  9. Sharp Weak-Type Inequality for the Haar System, Harmonic Functions and Martingales

    Authors:
    Adam Osękowski
    Academic press:
    Bulletin of the Polish Academy of Sciences Mathematics (year: 2014, volume: 62, pages: 187-196), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba62-2-7 – link to the publication

  10. Sharp Lp bound for holomorphic functions on the unit disc

    Authors:
    Adam Osękowski
    Academic press:
    Mediterranean Journal of Mathematics (year: 2016, volume: 13, pages: 127-139), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00009-014-0495-x – link to the publication

  11. Sharp L^1(ell^q) estimate for a sequence and its predictable projection

    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (year: 2015, volume: 104, pages: 82-86), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2015.05.005 – link to the publication

  12. On the UMD constant of the space ell_1^N

    Authors:
    Adam Osękowski
    Academic press:
    Colloquium Mathematicum (year: 2016, volume: 142, pages: 135-147), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/cm142-1-7 – link to the publication

  13. A logarithmic bound for a stopped Brownian motion

    Authors:
    Adam Osękowski
    Academic press:
    Stochastic Analysis and Applications (year: 2016, volume: 34, pages: 65-74), Publisher: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/07362994.2015.1099444 – link to the publication

  14. A weak type inequality for submartingales and Itô processes

    Authors:
    Adam Osękowski
    Academic press:
    Bulletin of the Polish Academy of Sciences Mathematics (year: 2015, volume: 63, pages: 73-88), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba63-1-9 – link to the publication

  15. Weak-L^oo inequalities for BMO functions

    Authors:
    Adam Osękowski
    Academic press:
    New York Journal of Mathematics (year: 2015, volume: 21, pages: 699-713), Publisher: The European Mathematical Information Service
    Status:
    Published

  16. Kolmogorov's inequalities for martingales and the Haar system

    Authors:
    Adam Osękowski
    Academic press:
    Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie (year: 2015, volume: 58, pages: 181-192), Publisher: Societatea de Stiinte Matematice din România
    Status:
    Published

  17. A prophet inequality for L^p-bounded dependent random variables

    Authors:
    Adam Osękowski
    Academic press:
    Positivity (year: 2015, volume: 19, pages: 289-303), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11117-014-0295-3 – link to the publication

  18. A sharp maximal inequality for one-dimensional Dunkl martingales

    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (year: 2015, volume: 105, pages: 114-119), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2015.06.008 – link to the publication

  19. A note on the Hanson-Wright inequality for random vectors with dependencies

    Authors:
    Radosław Adamczak
    Academic press:
    Electronic Communications in Probability (year: 2015, volume: 20, pages: article 72,1-13), Publisher: IMS
    Status:
    Published
    DOI:
    10.1214/ECP.v20-3829 – link to the publication

  20. R -Boundedness versus γ -boundedness

    Authors:
    Stanisław Kwapień, Mark Veraar, Lutz Weis
    Academic press:
    Arkiv för Matematik (year: 2016, volume: 54, pages: 125-145), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11512-015-0223-1 – link to the publication

  21. Sudakov-type minoration for log-concave vectors

    Authors:
    Rafał Latała
    Academic press:
    Studia Mathematica (year: 2014, volume: 223, pages: 251-274), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm223-3-5 – link to the publication

  22. L_1-norm of combinations of products of independent random variables

    Authors:
    Rafał Latała
    Academic press:
    Israel Journal of Mathematics (year: 2014, volume: 203, pages: 295-308), Publisher: Hebrew University
    Status:
    Published
    DOI:
    10.1007/s11856-014-1076-1 – link to the publication

  23. Modified log-Sobolev inequalities for convex functions on the > real line. Sufficient conditions

    Authors:
    Radosław Adamczak, Michał Strzelecki
    Academic press:
    Studia Mathematica (year: 2015, volume: 230, pages: 59-93), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm8319-12-2015 – link to the publication

  24. On the boundedness of Bernoulli processes

    Authors:
    Witold Bednorz, Rafał Latała
    Academic press:
    Annals of Mathematics (year: 2014, volume: 180, pages: 1167-1203), Publisher: Princeton University
    Status:
    Published
    DOI:
    10.4007/annals.2014.180.3.8 – link to the publication

  25. Two-sided bounds for L_p-norms of combinations of products of independent random variables

    Authors:
    Ewa Damek, Rafał Latała, Piotr Nayar, Tomasz Tkocz
    Academic press:
    Stochastic Processes and their Applications (year: 2015, volume: 125, pages: 1688-1713), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2014.11.012 – link to the publication

  26. On the suprema of Bernoulli processes

    Authors:
    Witold Bednorz, Rafał Latała
    Academic press:
    Comptes Rendus Mathématique. Académie des Sciences. Paris (year: 2013, volume: 351, pages: 131-134), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.crma.2013.02.013 – link to the publication

  27. Weighted norm inequalities for fractional maximal operators - a Bellman function approach

    Authors:
    Rodrigo Banuelos, Adam Osękowski
    Academic press:
    Indiana University Mathematics Journal (year: 2015, volume: 64, pages: 957-972), Publisher: Indiana University
    Status:
    Published
    DOI:
    10.1512/iumj.2015.64.5534 – link to the publication

  28. Positivity improvement and Gaussian kernels

    Authors:
    Franck Barthe, Paweł Wolff
    Academic press:
    Comptes Rendus Mathématique. Académie des Sciences. Paris (year: 2014, volume: 352, pages: 1017-1021), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.crma.2014.09.016 – link to the publication

  29. Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails

    Authors:
    Konrad Kolesko, Rafał Latała
    Academic press:
    Statistics and Probability Letters (year: 2015, volume: 107, pages: 210-214), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2015.08.019 – link to the publication

  30. Sharp inequalities for dyadic A_1 weights

    Authors:
    Adam Osękowski
    Academic press:
    Archiv der Mathematik (year: 2013, volume: 101, pages: 181-190), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-013-0537-9 – link to the publication

  31. Sharp inequalities for martingales with values in ell_infty^N

    Authors:
    Adam Osękowski
    Academic press:
    Electronic Journal of Probability (year: 2013, volume: 18, pages: article 73, 1-19), Publisher: IMS
    Status:
    Published
    DOI:
    10.1214/EJP.v18-2667 – link to the publication

  32. A new approach to Hardy-type inequalities

    Authors:
    Adam Osękowski
    Academic press:
    Archiv der Mathematik (year: 2015, volume: 104, pages: 165-176), Publisher: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00013-014-0722-5 – link to the publication

  33. A splitting procedure for Bellman functions and the action of dyadic maximal operators on L^p

    Authors:
    Adam Osękowski
    Academic press:
    Mathematika (year: 2015, volume: 61, pages: 199-212), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0025579314000266 – link to the publication

  34. A prophet inequality for L^2-martingales

    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (year: 2013, volume: 83, pages: 2319-2323), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2013.06.025 – link to the publication

  35. A note on suprema of canonical processes based on random variables with regular moments

    Authors:
    Rafał Latała, Tomasz Tkocz
    Academic press:
    Electronic Journal of Probability (year: 2015, volume: Article 36, pages: 46039), Publisher: IMS
    Status:
    Published
    DOI:
    10.1214/EJP.v20-3625 – link to the publication

  36. On martingales whose exponential processes satisfy Muckenhoupt's condition A_1

    Authors:
    Adam Osękowski
    Academic press:
    Statistics and Probability Letters (year: 2013, volume: 83, pages: 1849-1853), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2013.04.012 – link to the publication

  37. Sharp inequalities for geometric maximal operators associated with general measures

    Authors:
    Adam Osękowski
    Academic press:
    Analysis Mathematica (year: 2013, volume: 39, pages: 287-296), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10476-013-0404-8 – link to the publication

  38. Moment inequality for the martingale square function

    Authors:
    Adam Osękowski
    Academic press:
    Bulletin of the Polish Academy of Sciences Mathematics (year: 2013, volume: 61, pages: 169-180), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba61-2-11 – link to the publication

  39. Sharp weak-type estimates for the dyadic-like maximal operators

    Authors:
    Adam Osękowski
    Status:
    Accepted for publication

  40. Strong contraction and influences in tail spaces

    Authors:
    Steven Heilman, Elchanan Mossel i Krzysztof Oleszkiewicz
    Status:
    Accepted for publication

  41. Asymptotic entropic uncertainty relations

    Authors:
    Radosław Adamczak, Rafał Latała, Zbigniew Puchała, Karol Życzkowski
    Status:
    Accepted for publication

  42. Weak and strong moments of l_r-norms of log-concave vectors

    Authors:
    Rafał Latała, Marta Strzelecka
    Status:
    Accepted for publication

  43. On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities

    Authors:
    Galyna Livshyts, Arnaud Marsiglietti, Piotr Nayar, Artem Zvavitch
    Status:
    Accepted for publication

  44. A sharp weak-type (oo,oo) inequality for the Hilbert transform

    Authors:
    Adam Osękowski
    Status:
    Accepted for publication

  45. Sharp LlogL estimates for Fourier multipliers

    Authors:
    Adam Osękowski
    Status:
    Accepted for publication

  46. Sharp inequalities for the Haar system and martingale transforms

    Authors:
    Adam Osękowski
    Status:
    Accepted for publication

Book publications / chapters in book publications (3)

  1. Modified Paouris inequality

    Authors:
    Rafał Latała
    Book:
    Geometric Aspects of Functional Analysis, Israel Seminar 2011-2013, seria Lecture Notes in Mathematics (year: 2014, volume: 2116, pages: 293-307), Publisher: Springer-Verlag
    Status:
    Published

  2. Weak-type inequalities for maximal operators acting on Lorentz spaces

    Authors:
    Adam Osękowski
    Book:
    Calculus of Variations and PDEs, Banach Center Publications (year: 2014, volume: 101, pages: 145-162), Publisher: IMPAN
    Status:
    Published

  3. On mimicking Rademacher sums in tail spaces

    Authors:
    Krzysztof Oleszkiewicz
    Book:
    Geometric Aspects of Functional Analysis, Israel Seminar 2014-15, Publisher: prawdopodobnie Springer w serii Lecture Notes in Mathematics
    Status:
    Accepted for publication

« New search

Graphic design and implementation: Jakub Piotrowski