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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Sobolev spaces for classical and symmetrized Jacobi expansions

2013/09/N/ST1/04120

Keywords:

orthogonal expansions Jacobi expansions symmetrized Jacobi expansions Sobolev space potential space fractional integral Riesz transform maximal operator square function

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 :

Politechnika Wrocławska, Wydział Matematyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Bartosz Langowski 

Number of co-investigators in the project: 2

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

Amount awarded: 89 410 PLN

Project start date (Y-m-d): 2014-04-07

Project end date (Y-m-d): 2017-04-06

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny (notebook) (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters
    Authors:
    Bartosz Langowski
    Academic press:
    Acta Mathematica Hungarica (rok: 2016, tom: 150, strony: 49-82), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10474-016-0652-8 - link to the publication
  2. On potential spaces related to Jacobi expansions
    Authors:
    Bartosz Langowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 432, strony: 374-397), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.06.058 - link to the publication
  3. Potential and Sobolev spaces related to symmetrized Jacobi expansions
    Authors:
    Bartosz Langowski
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (rok: 2015, tom: 11, strony: 17), Wydawca: Department of Applied Research, Institute of Mathematics, Kyiv
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.073 - link to the publication
  4. Sobolev spaces associated with Jacobi expansions
    Authors:
    Bartosz Langowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 420, strony: 1533-1551), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.06.063 - link to the publication