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

2017/25/B/ST1/00599

Keywords:

Hardy space singular operator semigroup of operators Dunkl operator

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 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 (Y-m-d): 2018-01-12

Project end date (Y-m-d): 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. Tablet.
  2. Laptop.

Information in the final report

  • Publication in academic press/journals (15)
  1. 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 (rok: 2019, tom: 25 no.5, strony: 2356–2418), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-019-09666-0 - link to the publication
  2. Riesz transform characterizations for multidimensional Hardy spaces
    Authors:
    Edyta Kania-Strojec, Marcin Preisner
    Academic press:
    The Journal of Geometric Analysis , Wydawca: Springer Nature
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. 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 (rok: 2019, tom: 21, strony: 53), Wydawca: Birkhauser Verlag
    Status:
    Published
    DOI:
    10.1007/s00021-019-0456-z - link to the publication
  4. Local atomic decompositions for Hardy spaces
    Authors:
    Edyta Kania-Strojec, Paweł Plewa, Marcin Preisner
    Academic press:
    Revista Matematica Complutense (rok: 2020, tom: brak, strony: brak), Wydawca: Springer-Verlag Italia
    Status:
    Published
    DOI:
    10.1007/s13163-020-00354-y - link to the publication
  5. 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 (rok: 2021, tom: 27, strony: no. 46), Wydawca: Birkhauser Boston
    Status:
    Published
    DOI:
    10.1007/s00041-021-09841-2 - link to the publication
  6. Sharp multiplier theorem for multidimensional Bessel operators
    Authors:
    Edyta Kania, Marcin Preisner
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2019, tom: 25 no. 5, strony: 2419–2446), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-019-09667-z - link to the publication
  7. Upper and lower bounds for Littlewood-Paley square functions in the Dunkl setting
    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Studia Mathemtica (rok: 2021, tom: 262, strony: 275-303), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm200716-16-4 - link to the publication
  8. Lie group approach to Grushin operators
    Authors:
    Jacek Dziubański, Adam Sikora
    Academic press:
    Journal of Lie Theory (rok: 2021, tom: 31, strony: 001-014), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    brak - link to the publication
  9. On semigroups generated by sums of even powers of Dunkl operators
    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Integral Equations and Operator Theory (rok: 2021, tom: 93, strony: np. 31), Wydawca: Birkhauser Verlag Basel
    Status:
    Published
    DOI:
    10.1007/s00020-021-02646-4 - link to the publication
  10. The atomic Hardy space for a general Bessel operator
    Authors:
    Edyta Kania-Strojec
    Academic press:
    Monatshefte für Mathematik (rok: 2021, tom: 196, strony: 785—822), Wydawca: Springer-Verlag Wien
    Status:
    Published
    DOI:
    10.1007/s00605-021-01603-y - link to the publication
  11. Hardy spaces meet harmonic weights
    Authors:
    Marcin Preisner, Adam Sikora, Lixin Yan
    Academic press:
    Transactions of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  12. Singular integrals in the rational Dunkl setting
    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Revista Matemática Complutense (rok: 2021, ), Wydawca: Springer Nature
    Status:
    Accepted for publication
    DOI:
    10.1007/s13163-021-00402-1 - link to the publication
  13. Behavior of eigenvalues of certain Schrödinger operators in the rational Dunkl setting
    Authors:
    Agnieszka Hejna
    Academic press:
    Analysis and Mathematical Physics (rok: 2021, tom: 11, strony: no. 116), Wydawca: Springer Science
    Status:
    Published
    DOI:
    10.1007/s13324-021-00556-7 - link to the publication
  14. Hardy spaces for the Dunkl harmonic oscillator
    Authors:
    Agnieszka Hejna
    Academic press:
    Mathematische Nachrichten (rok: 2020, tom: 293, strony: 2112-2139), Wydawca: Wiley - V C H Verlag GmbbH & Co.
    Status:
    Published
    DOI:
    10.1002/mana.201900215 - link to the publication
  15. Hörmander's multiplier theorem for the Dunkl transform
    Authors:
    Jacek Dziubański, Agnieszka Hejna
    Academic press:
    Journal of Functional Analysis (rok: 2019, tom: 277 no. 7, strony: 2133–2159), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jfa.2019.03.002 - link to the publication

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