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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Hardy's type inequality associated with orthogonal expansions

2018/29/N/ST1/02424

Keywords:

Hardy's spaces orthogonal expansions

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 :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Paweł Plewa 

Number of co-investigators in the project: 2

Call: PRELUDIUM 15 - announced on 2018-03-15

Amount awarded: 114 200 PLN

Project start date (Y-m-d): 2019-01-31

Project end date (Y-m-d): 2023-01-30

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. Komputer (5 000 PLN)
  2. Tablet Samsung Galaxy Tab S7+.

Information in the final report

  • Publication in academic press/journals (5)
  1. Sharp Hardy's inequality for Jacobi and symmetrized Jacobi trigonometric expansions
    Authors:
    Paweł Plewa
    Academic press:
    Journal of Approximation Theory (rok: 2020, tom: 256, strony: 45314), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2020.105422 - link to the publication
  2. On Hardy's Inequality for Hermite Expansions
    Authors:
    Paweł Plewa
    Academic press:
    Taiwanese Journal of Mathematics (rok: 2020, tom: 24, strony: 301-315), Wydawca: Mathematical Society of the Republic of China
    Status:
    Published
    DOI:
    10.11650/tjm/190601 - link to the publication
  3. Local atomic decompositions for Hardy spaces
    Authors:
    Edyta Kania, Paweł Plewa, Marcin Preisner
    Academic press:
    Revista Matemática Complutense (rok: 2020, tom: 34, strony: 409-434), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13163-020-00354-y - link to the publication
  4. Sharp Hardy's inequality for orthogonal expansions in Hp spaces
    Authors:
    Paweł Plewa
    Academic press:
    Journal of Fourier Analysis and Applications (), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. Sharp Hardy's type inequality for Laguerre expansions
    Authors:
    Paweł Plewa
    Academic press:
    Journal of the Mathematical Society of Japan (rok: 2022, tom: 74, strony: 333-352), Wydawca: Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/84448444 - link to the publication

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