Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces

Detalhes bibliográficos
Autor(a) principal: Karapetyants, Alexey
Data de Publicação: 2017
Outros Autores: Samko, Stefan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/11832
Resumo: The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1 <= q < infinity on the unit disc D. We study a problem of boundedness of Bergman projection in this general setting. Second, we apply this general approach for the new concrete cases when X is either Orlicz space or generalized Morrey space, or generalized complementary Morrey space. In general, such introduced spaces are the spaces of functions which are in a sense the generalized Hadamard type derivatives of analytic functions having l(q) summable Taylor coefficients.
id RCAP_b87c28ac43e1bab2802c6bf9bba51433
oai_identifier_str oai:sapientia.ualg.pt:10400.1/11832
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spacesBergman projectionsUnit DiscOperatorsInequalitiesBoundednessDualityThe aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1 <= q < infinity on the unit disc D. We study a problem of boundedness of Bergman projection in this general setting. Second, we apply this general approach for the new concrete cases when X is either Orlicz space or generalized Morrey space, or generalized complementary Morrey space. In general, such introduced spaces are the spaces of functions which are in a sense the generalized Hadamard type derivatives of analytic functions having l(q) summable Taylor coefficients.Russian Fund of Basic Research [15-01-02732]; SFEDU grant [07/2017-31]Walter De Gruyter GmbhSapientiaKarapetyants, AlexeySamko, Stefan2018-12-07T14:58:03Z2017-102017-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11832eng1311-045410.1515/fca-2017-0059info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-24T10:23:41Zoai:sapientia.ualg.pt:10400.1/11832Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:16.818088Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
title Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
spellingShingle Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
Karapetyants, Alexey
Bergman projections
Unit Disc
Operators
Inequalities
Boundedness
Duality
title_short Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
title_full Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
title_fullStr Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
title_full_unstemmed Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
title_sort Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
author Karapetyants, Alexey
author_facet Karapetyants, Alexey
Samko, Stefan
author_role author
author2 Samko, Stefan
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Karapetyants, Alexey
Samko, Stefan
dc.subject.por.fl_str_mv Bergman projections
Unit Disc
Operators
Inequalities
Boundedness
Duality
topic Bergman projections
Unit Disc
Operators
Inequalities
Boundedness
Duality
description The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1 <= q < infinity on the unit disc D. We study a problem of boundedness of Bergman projection in this general setting. Second, we apply this general approach for the new concrete cases when X is either Orlicz space or generalized Morrey space, or generalized complementary Morrey space. In general, such introduced spaces are the spaces of functions which are in a sense the generalized Hadamard type derivatives of analytic functions having l(q) summable Taylor coefficients.
publishDate 2017
dc.date.none.fl_str_mv 2017-10
2017-10-01T00:00:00Z
2018-12-07T14:58:03Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.1/11832
url http://hdl.handle.net/10400.1/11832
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1311-0454
10.1515/fca-2017-0059
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Walter De Gruyter Gmbh
publisher.none.fl_str_mv Walter De Gruyter Gmbh
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799133267109085184

Registros relacionados