Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Orthogonal expansions in harmonic analysis

2013/09/B/ST1/02057

Keywords:

orthogonal expansions Jacobi expansions Fourier-Bessel expansions Laguerre expansions Dunkl-Laguerre expansions symmetrized Laguerre expansions Riesz potential Bessel potential maximal operator Dunkl harmonic oscillator Calderón-Zygmund operator Riesz transform square function Lusin's area integral spectral multiplier Campanato space Morrey space

Descriptors:

  • ST1_8: Analysis

Panel:

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

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Adam Nowak 

Number of co-investigators in the project: 2

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 224 700 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2017-10-19

Project duration:: 44 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer przenośny (notebook/ultrabook) (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  1. Potential operators associated with Hankel and Hankel-Dunkl transforms
    Authors:
    Adam Nowak, Krzysztof Stempak
    Academic press:
    Journal d'Analyse Mathématique (rok: 2017, tom: 131, strony: 277-321), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-017-0009-4 - link to the publication
  2. Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions
    Authors:
    Adam Nowak, Krzysztof Stempak
    Academic press:
    Potential Analysis (rok: 2016, tom: 44, strony: 109-136), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-015-9501-6 - link to the publication
  3. Potential operators and Laplace type multipliers associated with the twisted Laplacian
    Authors:
    Adam Nowak, Krzysztof Stempak
    Academic press:
    Acta Mathematica Scientia (rok: 2017, tom: 37, strony: 280-292), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/S0252-9602(16)30130-8 - link to the publication
  4. Riesz-Jacobi transforms as principal value integrals
    Authors:
    Alejandro Castro, Adam Nowak, Tomasz Zachary Szarek
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2016, tom: 22, strony: 493-541), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-015-9430-1 - link to the publication
  5. On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings
    Authors:
    Adam Nowak, Krzysztof Stempak, Tomasz Zachary Szarek
    Academic press:
    SIGMA Symmetry, Integrability and Geometry: Methods and Applications (rok: 2016, tom: 12, strony: article 096, 39 pages), Wydawca: Institute of Mathematics of NAS of Ukraine
    Status:
    Published
    DOI:
    10.3842/SIGMA.2016.096 - link to the publication
  6. Potential operators associated with Jacobi and Fourier-Bessel expansions
    Authors:
    Adam Nowak, Luz Roncal
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 422, strony: 148-184), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.08.023 - link to the publication
  7. Local Morrey and Campanato spaces on quasi-metric measure spaces
    Authors:
    Krzysztof Stempak, Xiangxing Tao
    Academic press:
    Journal of Function Spaces (rok: 2014, tom: Volume 2014, strony: Article ID 172486, 15 pages), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2014/172486 - link to the publication
  8. Modified Hardy-Littlewood maximal operators on nondoubling metric measure spaces
    Authors:
    Krzysztof Stempak
    Academic press:
    Annales Academiæ Scientiarum Fennicæ: Mathematica (rok: 2015, tom: 40, strony: 443-448), Wydawca: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2015.4024 - link to the publication

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