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Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Inequalities for noncommutative martingales

2018/30/Q/ST1/00072

Keywords:

martingale noncommutative inequality Hardy space

Descriptors:

  • ST1_9: Operator algebras and functional 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: 2

Call: SHENG 1 - announced on 2018-06-15

Amount awarded: 450 000 PLN

Project start date (Y-m-d): 2019-07-26

Project end date (Y-m-d): 2023-07-25

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer przenośny (laptop) (7 000 PLN)
  2. Drukarka laserowa (2 000 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  1. Sharp Lorentz-norm estimates for differentially subordinate martingales and applications
    Authors:
    Adam Osękowski
    Academic press:
    Transactions of the American Mathematical Society (rok: 2021, tom: 374, strony: 7235--7262), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8460 - link to the publication
  2. Sharp Lp estimates for paraproducts on general measure spaces
    Authors:
    Adam Osękowski
    Academic press:
    Archiv der Mathematik (rok: 2022, tom: 118, strony: 91-99), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-021-01669-y - link to the publication
  3. Weighted inequalities for q-functions
    Authors:
    Tomasz Gałązka, Adam Osękowski
    Academic press:
    Illinois Journal of Mathematics (rok: 2021, tom: 65, strony: 455-474), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/00192082-8946105 - link to the publication
  4. Sharp estimates for martingale transforms with unbounded transforming sequences
    Authors:
    Tomasz Gałązka, Adam Osękowski
    Academic press:
    Electronic Journal of Probability (rok: 2023, tom: 28, strony: 45311), Wydawca: Institute of Mathematical Statistics (IMS) oraz the Bernoulli Society.
    Status:
    Published
    DOI:
    10.1214/23-EJP953 - link to the publication
  5. Noncommutative good-\lambda inequalities
    Authors:
    Yong Jiao, Adam Osękowski, Lian Wu
    Academic press:
    Journal of the European Mathematical Society , Wydawca: European Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. A weak-type (∞,∞) inequality for the triangular projection
    Authors:
    Tomasz Gałązka, Adam Osękowski, Yahui Zuo
    Academic press:
    Linear Algebra and its Applications (rok: 2021, tom: 612, strony: 112-127), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2020.12.008 - link to the publication
  7. A noncommutative Freedman's inequality
    Authors:
    Andrzej Małek, Adam Osękowski
    Academic press:
    Electronic Communications in Probability , Wydawca: Institute of Mathematical Statistics (IMS) oraz the Bernoulli Society.
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Mixed L^p estimates for transforms of noncommutative martingales
    Authors:
    Adam Osękowski
    Academic press:
    Bulletin of the London Mathematical Society , Wydawca: London Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Noncommutative weak-L^\infty and BMO
    Authors:
    Yong Jiao, Adam Osękowski, Lian Wu, Yahui Zuo
    Academic press:
    Mathematische Annalen , Wydawca: Springer Verlag
    Status:
    Submitted
    DOI:
    brak - link to the publication
  10. A probabilistic approach to Hilbert transforms on free group von Neumann algebras
    Authors:
    Tomasz Gałązka, Adam Osękowski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2022, tom: 150, strony: 2861-2877), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15732 - link to the publication
  11. Sharp L^p → L^{q,∞} estimates for the Hilbert transform
    Authors:
    Tomasz Gałązka, Adam Osękowski
    Academic press:
    Journal of the Mathematical Society of Japan (rok: 2024, tom: 76, strony: 111-124), Wydawca: Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/89668966 - link to the publication
  12. The sharp weighted maximal inequalities for noncommutative martingales
    Authors:
    Tomasz Gałązka, Yong Jiao, Adam Osękowski, Lian Wu
    Academic press:
    Journal of Functional Analysis (rok: 2024, tom: 286, strony: 110270), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2023.110270 - link to the publication
  13. An extension of $H^1-BMO$ estimate to matrix-valued functions
    Authors:
    Adam Osękowski
    Academic press:
    Proceedings of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Noncommutative continuous differentially subordinate martingales and second-order Riesz transforms
    Authors:
    Yong Jiao, Adam Osękowski, Lian Wu
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. A dual approach to Burkholder's $L^p$ estimates
    Authors:
    Rodrigo Banuelos, Tomasz Gałązka, Adam Osękowski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1107-1123), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12487 - link to the publication
  16. Inequalities for noncommutative weakly dominated martingales and applications
    Authors:
    Yong Jiao, Adam Osekowski, Lian Wu, Yahui Zuo
    Academic press:
    Communications in Mathematical Physics (rok: 2022, tom: 396, strony: 787-816), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-022-04477-9 - link to the publication
  17. Sharp analytic version of Fefferman's inequality
    Authors:
    Tomasz Gałązka, Adam Osękowski
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication

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