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Continuous and discrete perspectives in harmonic analysis

2018/31/B/ST1/00204

Keywords

Descriptors

  • ST1_8: Analiza
  • ST1_9: Algebry operatorowe i analiza funkcjonalna

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

Voivodeship: 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
2019-07-24
Project end date
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. Cost: 1 500 PLN
  2. Laptop. Cost: 7 500 PLN
  3. Monitor. Cost: 1 650 PLN
  4. Stacja dokująca.

Information in the final report

Publication in academic press/journals (13)

  1. Polynomial averages and pointwise ergodic theorems on nilpotent groups

    Authors:
    Alexandru D. Ionescu, Ákos Magyar, Mariusz Mirek, Tomasz Z. Szarek
    Academic press:
    Inventiones Mathematicae (year: 2023, volume: online first, pages: 1-118), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00222-022-01159-0 – link to the publication

  2. 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 (year: 2023, volume: online first, pages: 29221), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-022-02557-8 – link to the publication

  3. 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 (year: 2023, volume: 11:e23, pages: 23377), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/fmp.2023.21 – link to the publication

  4. Pointwise ergodic theorems for non-conventional bilinear polynomial averages

    Authors:
    Ben Krause, Mariusz Mirek, Terrence Tao
    Academic press:
    Annals of Mathematics (year: 2022, volume: 195, pages: 997-1109), Publisher: Princeton University and the Institute for Advanced Study
    Status:
    Published
    DOI:
    10.4007/annals.2022.195.3.4 – link to the publication

  5. Oscillation Estimates for Truncated Singular Radon Operators

    Authors:
    Wojciech Słomian
    Academic press:
    Journal of Fourier Analysis and Applications (year: 2023, volume: 29, pages: 46044), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-022-09986-8 – link to the publication

  6. Dimension-free estimates for the discrete spherical maximal functions

    Authors:
    Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
    Academic press:
    International Mathematics Research Notices (year: 2023, volume: online first, pages: 23012), Publisher: Oxford Academic Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnac329 – link to the publication

  7. 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 (year: 2023, volume: 151, pages: 3365-3379), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16427 – link to the publication

  8. Dimension-free Lp estimates for vectors of Riesz transforms in the rational Dunkl setting

    Authors:
    Agnieszka Hejna
    Academic press:
    Journal d'Analyse Mathématique (year: 2023, volume: online first, pages: 16072), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-023-0278-z – 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 (year: 2022, volume: online first, pages: 46052), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2022.77 – link to the publication

  10. Dimension-free estimates for Riesz transforms related to the harmonic oscillator

    Authors:
    Maciej Kucharski
    Academic press:
    Colloquium Mathematicum (year: 2021, volume: 165, pages: 139-161), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm8047-8-2020 – 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 (year: 2020, volume: 2256, pages: 127-169), Publisher: Springer Nature Switzerland
    Status:
    Published
    DOI:
    10.1007/978-3-030-36020-7_8 – link to the publication

  12. 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 (year: 2022, volume: online first, pages: 13881), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2382-7 – link to the publication

  13. Bootstrap methods in bounding discrete Radon operators

    Authors:
    Wojciech Słomian
    Academic press:
    Journal of Functional Analysis (year: 2022, volume: 283 (9), pages: 46052), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109650 – link to the publication

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