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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Composition and inclusion operators on abstract Hardy spaces

2015/19/N/ST1/00845

Keywords:

Hardy spaces Carleson measures composition operators inclusion operators planar domains harmonic measures

Descriptors:

  • 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 :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Michał Rzeczkowski 

Number of co-investigators in the project: 2

Call: PRELUDIUM 10 - announced on 2015-09-15

Amount awarded: 49 100 PLN

Project start date (Y-m-d): 2016-08-17

Project end date (Y-m-d): 2018-08-16

Project duration:: 24 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. Laptop (3 777 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Carleson measures on circular domains and canonical embeddings of Hardy spaces into function lattices
    Authors:
    P. Mleczko, M. Rzeczkowski
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2019, tom: 13 no. 4, strony: 864-883), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2019-0013 - link to the publication
  2. Classical properties of composition operators on Hardy-Orlicz spaces on planar domains
    Authors:
    Michał Rzeczkowski
    Academic press:
    Journal of the Australian Mathematical Society (rok: 2019, tom: 107 no. 2, strony: 256-271), Wydawca: Cambridge Journals
    Status:
    Published
    DOI:
    10.1017/S1446788718000277 - link to the publication
  3. Nevanlinna and Carleson functions of analytic self-maps on multiply-connected domains
    Authors:
    Michał Rzeczkowski
    Academic press:
    Mathematische Nachrichten (), Wydawca: WILEY-VCH Verlag GmbH & Co. KGaA
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  4. On the Banach envelopes on Hardy–Orlicz spaces on planar domains
    Authors:
    M. Rzeczkowski
    Academic press:
    Commentationes Mathematicae (rok: 2018, tom: 58 no.1-2, strony: 79-92), Wydawca: POLSKIE TOWARZYSTWO MATEMATYCZNE
    Status:
    Published
    DOI:
    10.14708/cm.v58il-2.6408 - link to the publication

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