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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Maximal operators

2016/21/N/ST1/01496

Keywords:

Maximal operators Lebesgue spaces Lorentz spaces strong weak and restricted weak type inequalities non-doubling measures Marcinkiewicz interpolation theorem variation

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 Dariusz Kosz 

Number of co-investigators in the project: 2

Call: PRELUDIUM 11 - announced on 2016-03-15

Amount awarded: 68 600 PLN

Project start date (Y-m-d): 2017-03-21

Project end date (Y-m-d): 2020-09-20

Project duration:: 42 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)

Information in the final report

  • Publication in academic press/journals (8)
  1. BMO spaces for nondoubling metric measure spaces
    Authors:
    Dariusz Kosz
    Academic press:
    Publicacions Matemàtiques (rok: 2020, tom: 64, strony: 103-119), Wydawca: Department of Mathematics of the Universitat Autònoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6412004 - link to the publication
  2. Dichotomy property for maximal operators in a nondoubling setting
    Authors:
    Dariusz Kosz
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2019, tom: 99(3), strony: 454-466), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S000497271800120X - link to the publication
  3. On relations between weak and strong type inequalities for modified maximal operators on non-doubling metric measure spaces
    Authors:
    Dariusz Kosz
    Academic press:
    Forum Mathematicum (rok: 2019, tom: 31(3), strony: 785-801), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2018-0126 - link to the publication
  4. BV continuity for the uncentered Hardy–Littlewood maximal operator
    Authors:
    Cristian González-Riquelme, Dariusz Kosz
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 281, strony: ), Wydawca: Elsevier
    Status:
    Accepted for publication
    DOI:
    10.1016/j.jfa.2021.109037 - link to the publication
  5. On relations between weak type and restricted weak type inequalities for maximal operators on non-doubling metric measure spaces
    Authors:
    Dariusz Kosz
    Academic press:
    Studia Mathematica (rok: 2018, tom: 241, strony: 57-70), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm8724-5-2017 - link to the publication
  6. On differentiation of integrals in the infinite-dimensional torus
    Authors:
    Dariusz Kosz
    Academic press:
    Studia Mathematica (rok: 2021, tom: 258, strony: 103-119), Wydawca: IMPAN
    Status:
    Accepted for publication
    DOI:
    10.4064/sm191001-10-2 - link to the publication
  7. Maximal operators on Lorentz spaces in non-doubling setting
    Authors:
    Dariusz Kosz
    Academic press:
    Mathematische Zeitschrift , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00209-020-02650-1 - link to the publication
  8. Boundedness properties of maximal operators on Lorentz spaces
    Authors:
    Dariusz Kosz
    Academic press:
    Journal d'Analyse Mathématique , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication

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