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Harmonic analysis related to differential, difference, and differential-difference operators

2017/25/B/ST1/00599

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 Marcin Preisner

Number of co-investigators in the project: 4

Call

OPUS 13 – announced on 2017-03-15

Amount awarded
354 480 PLN
Project start date
2018-01-12
Project end date
2022-01-11
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. Laptop.
  2. Tablet.

Information in the final report

Publication in academic press/journals (15)

  1. Kinetic Energy Represented in Terms of Moments of Vorticity and Applications

    Authors:
    Tomasz Cieślak, Krzysztof Oleszkiewicz, Marcin Preisner and Marta Szumańska
    Academic press:
    Journal of Mathematical Fluid Mechanics (year: 2019, volume: 21, pages: 53), Publisher: Birkhauser Verlag
    Status:
    Published
    DOI:
    10.1007/s00021-019-0456-z – link to the publication

  2. Hörmander's multiplier theorem for the Dunkl transform

    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Journal of Functional Analysis (year: 2019, volume: 277 no. 7, pages: 2133–2159), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2019.03.002 – link to the publication

  3. Sharp multiplier theorem for multidimensional Bessel operators

    Authors:
    Edyta Kania, Marcin Preisner
    Academic press:
    Journal of Fourier Analysis and Applications (year: 2019, volume: 25 no. 5, pages: 2419–2446), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-019-09667-z – link to the publication

  4. Hardy spaces for the Dunkl harmonic oscillator

    Authors:
    Agnieszka Hejna
    Academic press:
    Mathematische Nachrichten (year: 2020, volume: 293, pages: 2112-2139), Publisher: Wiley - V C H Verlag GmbbH & Co.
    Status:
    Published
    DOI:
    10.1002/mana.201900215 – link to the publication

  5. Upper and lower bounds for Littlewood-Paley square functions in the Dunkl setting

    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Studia Mathemtica (year: 2021, volume: 262, pages: 275-303), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm200716-16-4 – link to the publication

  6. On semigroups generated by sums of even powers of Dunkl operators

    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Integral Equations and Operator Theory (year: 2021, volume: 93, pages: np. 31), Publisher: Birkhauser Verlag Basel
    Status:
    Published
    DOI:
    10.1007/s00020-021-02646-4 – link to the publication

  7. The atomic Hardy space for a general Bessel operator

    Authors:
    Edyta Kania-Strojec
    Academic press:
    Monatshefte für Mathematik (year: 2021, volume: 196, pages: 785—822), Publisher: Springer-Verlag Wien
    Status:
    Published
    DOI:
    10.1007/s00605-021-01603-y – link to the publication

  8. Lie group approach to Grushin operators

    Authors:
    Jacek Dziubański, Adam Sikora
    Academic press:
    Journal of Lie Theory (year: 2021, volume: 31, pages: 001-014), Publisher: Heldermann Verlag
    Status:
    Published

  9. Local atomic decompositions for Hardy spaces

    Authors:
    Edyta Kania-Strojec, Paweł Plewa, Marcin Preisner
    Academic press:
    Revista Matematica Complutense (year: 2020, volume: brak, pages: brak), Publisher: Springer-Verlag Italia
    Status:
    Published
    DOI:
    10.1007/s13163-020-00354-y – link to the publication

  10. Behavior of eigenvalues of certain Schrödinger operators in the rational Dunkl setting

    Authors:
    Agnieszka Hejna
    Academic press:
    Analysis and Mathematical Physics (year: 2021, volume: 11, pages: no. 116), Publisher: Springer Science
    Status:
    Published
    DOI:
    10.1007/s13324-021-00556-7 – link to the publication

  11. Schroedinger operators with reverse Hoelder class potentials in the Dunkl setting and their Hardy spaces

    Authors:
    Agnieszka Hejna
    Academic press:
    Journal of Fourier Analysis and Applications (year: 2021, volume: 27, pages: no. 46), Publisher: Birkhauser Boston
    Status:
    Published
    DOI:
    10.1007/s00041-021-09841-2 – link to the publication

  12. Harmonic Functions, Conjugate Harmonic Functions and the Hardy Space H^1 in the Rational Dunkl Setting

    Authors:
    Jean-Philippe Anker, Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Journal of Fourier Analysis and Applications (year: 2019, volume: 25 no.5, pages: 2356–2418), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-019-09666-0 – link to the publication

  13. Hardy spaces meet harmonic weights

    Authors:
    Marcin Preisner, Adam Sikora, Lixin Yan
    Status:
    Accepted for publication

  14. Riesz transform characterizations for multidimensional Hardy spaces

    Authors:
    Edyta Kania-Strojec, Marcin Preisner
    Status:
    Accepted for publication

  15. Singular integrals in the rational Dunkl setting

    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Status:
    Accepted for publication

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