Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
Autor(a) principal: | |
---|---|
Data de Publicação: | 2017 |
Outros Autores: | |
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 |