Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Continuous and discrete perspectives in harmonic analysis

2018/31/B/ST1/00204

Keywords:

dimension-free estimates averaging operators multiplier operators Riesz transforms

Descriptors:

  • ST1_8:
  • ST1_9:

Panel:

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

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Błażej Jan Wróbel 

Number of co-investigators in the project: 5

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 653 700 PLN

Project start date (Y-m-d): 2019-07-24

Project end date (Y-m-d): 2023-07-23

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. Drukarka (1 500 PLN)
  2. Laptop (7 500 PLN)
  3. Monitor (1 650 PLN)
  4. Stacja dokująca.

Information in the final report

  • Publication in academic press/journals (19)
  1. On discrete Hardy-Littlewood maximal functions over the balls in Zd: dimension-free estimates
    Authors:
    Jean Bourgain, Mariusz Mirek, Elias M. Stein, Błażej Wróbel
    Academic press:
    Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics (rok: 2020, tom: 2256, strony: 127-169), Wydawca: Springer Nature Switzerland
    Status:
    Published
    DOI:
    10.1007/978-3-030-36020-7_8 - link to the publication
  2. Dimension-free estimates for Riesz transforms related to the harmonic oscillator
    Authors:
    Maciej Kucharski
    Academic press:
    Colloquium Mathematicum (rok: 2021, tom: 165, strony: 139-161), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm8047-8-2020 - link to the publication
  3. Pointwise ergodic theorems for non-conventional bilinear polynomial averages
    Authors:
    Ben Krause, Mariusz Mirek, Terrence Tao
    Academic press:
    Annals of Mathematics (rok: 2022, tom: 195, strony: 997-1109), Wydawca: Princeton University and the Institute for Advanced Study
    Status:
    Published
    DOI:
    10.4007/annals.2022.195.3.4 - link to the publication
  4. On discrete Hardy-Littlewood maximal functions over the balls in Zd: dimension-free estimates
    Authors:
    Jean Bourgain, Mariusz Mirek, Elias M. Stein, Błażej Wróbel
    Academic press:
    Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics (rok: 2020, tom: 2256, strony: 127-169), Wydawca: Springer Nature Switzerland
    Status:
    Published
    DOI:
    10.1007/978-3-030-36020-7_8 - link to the publication
  5. Bootstrap methods in bounding discrete Radon operators
    Authors:
    Wojciech Słomian
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283 (9), strony: 45687), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109650 - link to the publication
  6. On the solution of Warring Problem with a multiplicative error term: dimension free estimates
    Authors:
    Jarosław Mirek, Wojciech Słomian, Błażej Wróbel
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2023, tom: 151, strony: 3365-3379), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16427 - link to the publication
  7. Dimension-free estimates for the discrete spherical maximal functions
    Authors:
    Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
    Academic press:
    International Mathematics Research Notices (rok: 2023, tom: online first, strony: 23012), Wydawca: Oxford Academic Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnac329 - link to the publication
  8. Dimension-free estimates for Riesz transforms related to the harmonic oscillator
    Authors:
    Maciej Kucharski
    Academic press:
    Colloquium Mathematicum (rok: 2021, tom: 165, strony: 139-161), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm8047-8-2020 - link to the publication
  9. Dimension-free Lp estimates for vectors of Riesz transforms in the rational Dunkl setting
    Authors:
    Agnieszka Hejna
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: online first, strony: 16072), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-023-0278-z - link to the publication
  10. On the solution of Warring Problem with a multiplicative error term: dimension free estimates
    Authors:
    Jarosław Mirek, Wojciech Słomian, Błażej Wróbel
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2023, tom: 151, strony: 3365-3379), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16427 - link to the publication
  11. Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions
    Authors:
    Dariusz Kosz, Mariusz Mirek, Paweł Plewa, Błażej Wróbel.
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: online first, strony: 13881), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2382-7 - link to the publication
  12. Polynomial averages and pointwise ergodic theorems on nilpotent groups
    Authors:
    Alexandru D. Ionescu, Ákos Magyar, Mariusz Mirek, Tomasz Z. Szarek
    Academic press:
    Inventiones Mathematicae (rok: 2023, tom: online first, strony: 1-118), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00222-022-01159-0 - link to the publication
  13. Oscillation Estimates for Truncated Singular Radon Operators
    Authors:
    Wojciech Słomian
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2023, tom: 29, strony: 45679), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-022-09986-8 - link to the publication
  14. On a multi-parameter varian of the Bellow-Furstenberg problem
    Authors:
    Jean Bourgain, Mariusz Mirek, Elias. M. Stein, James Wright
    Academic press:
    Forum of Mathematics, Pi (rok: 2023, tom: 11:e23, strony: 23377), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/fmp.2023.21 - link to the publication
  15. Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres
    Authors:
    Alex Iosevich, Bartosz Langowski, Mariusz Mirek, Tomasz Z. Szarek
    Academic press:
    Mathematische Annalen (rok: 2023, tom: online first, strony: 29221), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-022-02557-8 - link to the publication
  16. Dimension-free Lp estimates for vectors of Riesz transforms in the rational Dunkl setting
    Authors:
    Agnieszka Hejna
    Academic press:
    Journal d'Analyse Mathématique (rok: 2023, tom: online first, strony: 16072), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-023-0278-z - link to the publication
  17. Some remarks on oscillation inequalities
    Authors:
    Mariusz Mirek, Wojciech Słomian, Tomasz Z. Szarek
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: online first, strony: 45687), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2022.77 - link to the publication
  18. Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres
    Authors:
    Alex Iosevich, Bartosz Langowski, Mariusz Mirek, Tomasz Z. Szarek
    Academic press:
    Mathematische Annalen (rok: 2023, tom: online first, strony: 29221), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-022-02557-8 - link to the publication
  19. Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions
    Authors:
    Dariusz Kosz, Mariusz Mirek, Paweł Plewa, Błażej Wróbel.
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: online first, strony: 13881), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2382-7 - link to the publication

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