Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators

Detalhes bibliográficos
Autor(a) principal: Samko, Stefan
Data de Publicação: 2005
Outros Autores: Vakulov, B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/11861
Resumo: We prove Sobolev-type p((.)) -> q ((.))-theorems for the Riesz potential operator I-alpha in the weighted Lebesgue generalized spaces L-p(.)(R-n, p) with the variable exponent p (x) and a two-parametrical power weight fixed to an arbitrary finite point and to infinity, as well as similar theorems for a spherical analogue of the Riesz potential operator in the corresponding weighted spaces L-p(.)(S-n, p) on the unit sphere S-n in Rn+1. (c) 2005 Elsevier Inc. All rights reserved.
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spelling Weighted Sobolev theorem with variable exponent for spatial and spherical potential operatorsGeneralized LebesgueFractional integralsSpacesConvolutionWeighted Lebesgue spacesVariable exponentRiesz potentialsSpherical potentialsStereographical projectionWe prove Sobolev-type p((.)) -> q ((.))-theorems for the Riesz potential operator I-alpha in the weighted Lebesgue generalized spaces L-p(.)(R-n, p) with the variable exponent p (x) and a two-parametrical power weight fixed to an arbitrary finite point and to infinity, as well as similar theorems for a spherical analogue of the Riesz potential operator in the corresponding weighted spaces L-p(.)(S-n, p) on the unit sphere S-n in Rn+1. (c) 2005 Elsevier Inc. All rights reserved.info:eu-repo/semantics/publishedVersionElsevierSapientiaSamko, StefanVakulov, B.2018-12-07T14:58:06Z2005-102005-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11861eng0022-247X10.1016/j.jmaa.2005.02.002info: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:RCAAP2023-07-24T10:23:45Zoai:sapientia.ualg.pt:10400.1/11861Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:18.262301Repositório 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 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
title Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
spellingShingle Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
Samko, Stefan
Generalized Lebesgue
Fractional integrals
Spaces
Convolution
Weighted Lebesgue spaces
Variable exponent
Riesz potentials
Spherical potentials
Stereographical projection
title_short Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
title_full Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
title_fullStr Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
title_full_unstemmed Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
title_sort Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
author Samko, Stefan
author_facet Samko, Stefan
Vakulov, B.
author_role author
author2 Vakulov, B.
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Samko, Stefan
Vakulov, B.
dc.subject.por.fl_str_mv Generalized Lebesgue
Fractional integrals
Spaces
Convolution
Weighted Lebesgue spaces
Variable exponent
Riesz potentials
Spherical potentials
Stereographical projection
topic Generalized Lebesgue
Fractional integrals
Spaces
Convolution
Weighted Lebesgue spaces
Variable exponent
Riesz potentials
Spherical potentials
Stereographical projection
description We prove Sobolev-type p((.)) -> q ((.))-theorems for the Riesz potential operator I-alpha in the weighted Lebesgue generalized spaces L-p(.)(R-n, p) with the variable exponent p (x) and a two-parametrical power weight fixed to an arbitrary finite point and to infinity, as well as similar theorems for a spherical analogue of the Riesz potential operator in the corresponding weighted spaces L-p(.)(S-n, p) on the unit sphere S-n in Rn+1. (c) 2005 Elsevier Inc. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005-10
2005-10-01T00:00:00Z
2018-12-07T14:58:06Z
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/10400.1/11861
url http://hdl.handle.net/10400.1/11861
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
10.1016/j.jmaa.2005.02.002
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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