Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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: Analysis
  • 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 Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Błażej 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 (14)
  1. 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
  2. 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
  3. An improved multiplier theorem on rank one noncompact symmetric spaces
    Authors:
    Błażej Wróbel
    Academic press:
    Journal of Functional Analysis (), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. 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
  5. 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
  6. 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
  7. 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
  8. Bootstrap methods in bounding discrete Radon operators
    Authors:
    Wojciech Słomian
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283 (9), strony: 45321), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109650 - link to the publication
  9. 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: 45321), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2022.77 - link to the publication
  10. 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
  11. 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
  12. Oscillation Estimates for Truncated Singular Radon Operators
    Authors:
    Wojciech Słomian
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2023, tom: 29, strony: 45313), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-022-09986-8 - link to the publication
  13. 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
  14. 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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy