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Toeplitz and Hankel operators betwen distinct Hardy spaces

2017/26/D/ST1/00060

Keywords:

Toeplitz operator Hankel operator Hardy space

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 Poznańska, Wydział Automatyki, Robotyki i Elektrotechniki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Karol Leśnik 

Number of co-investigators in the project: 3

Call: SONATA 13 - announced on 2017-06-14

Amount awarded: 250 600 PLN

Project start date (Y-m-d): 2018-04-19

Project end date (Y-m-d): 2022-04-18

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.

Information in the final report

  • Publication in academic press/journals (7)
  1. OPTIMAL GAGLIARDO–NIRENBERG INTERPOLATION INEQUALITY FOR REARRANGEMENT INVARIANT SPACES
    Authors:
    K. Leśnik, T. Roskovec and F. Soudsky
    Academic press:
    Nonlinear Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. Compact Hankel operators between distinct Hardy spaces and commutators
    Authors:
    Karol Leśnik, Paweł Mleczko
    Academic press:
    Integral Equations and Operator Theory (rok: 2021, tom: 93, strony: 18), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s00020-021-02668-y - link to the publication
  3. Toeplitz and Hankel operators between distinct Hardy spaces
    Authors:
    Karol Leśnik
    Academic press:
    Studia Math. (rok: 2019, tom: 249, strony: 30), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm180207-9-7 - link to the publication
  4. CARLESON INTERPOLATING SEQUENCES FOR BANACH SPACES OF ANALYTIC FUNCTIONS
    Authors:
    M. Lindstrom, M. Mastyło, P. Mleczko, D. Norrbo and M. Rzeczkowski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (), Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/S1474748021000049 - link to the publication
  5. The Toeplitzness of weighted composition operators on Banach spaces of holomorphic functions
    Authors:
    M. Lindstrom, S. Miihkinen, P. Mleczko, D. Norrbo
    Academic press:
    Complex Variables and Elliptic Equations (), Wydawca: Taylor and Francis
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Regularization for Lozanovskii's type factorization with applications
    Authors:
    Karol Leśnik. Lech Maligranda i Paweł Mleczko
    Academic press:
    Ann. Acad. Sci. Fenn. Math. (rok: 2020, tom: 45, strony: 13), Wydawca: Finnish Academy of Science and Letters
    Status:
    Published
    DOI:
    10.5186/aasfm.2020.4545 - link to the publication
  7. Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
    Authors:
    Karol Leśnik, Lech Maligranda i Jakub Tomaszewski
    Academic press:
    Mathematische Nachrichten (rok: 2022, ), Wydawca: WILEY-VCH Verlag
    Status:
    Accepted for publication
    DOI:
    10.1002/mana.202000077 - link to the publication

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