Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
Autor(a) principal: | |
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Data de Publicação: | 2005 |
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/10400.1/11861 |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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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1799133267158368256 |