Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in

Detalhes bibliográficos
Autor(a) principal: Kokilashvili, V.
Data de Publicação: 2005
Outros Autores: Paatashvili, V., G. 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/10400.1/867
Resumo: We study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces with variable exponent. We consider both the case when the coefficient is piecewise continuous and it may be of a more general nature, admitting its oscillation. The explicit formulas for solutions in the variable exponent setting are given. The related singular integral equations in the same setting are also investigated. As an application there is derived some extension of the Szegö-Helson theorem to the case of variable exponents.
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spelling Boundary value problems for analytic functions in the class of Cauchy-type integrals with density inWe study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces with variable exponent. We consider both the case when the coefficient is piecewise continuous and it may be of a more general nature, admitting its oscillation. The explicit formulas for solutions in the variable exponent setting are given. The related singular integral equations in the same setting are also investigated. As an application there is derived some extension of the Szegö-Helson theorem to the case of variable exponents.Hindawi Publishing CorporationSapientiaKokilashvili, V.Paatashvili, V.G. Samko, Stefan2011-10-26T21:58:42Z2005-02-022011-10-25T19:10:18Z2005-02-02T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articletext/xmlapplication/pdfhttp://hdl.handle.net/10400.1/867engBoundary Value Problems. 2005 Feb 02;2005(1):36140910.1155/BVP.2005.43info: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:RCAAP2023-07-24T10:11:43Zoai:sapientia.ualg.pt:10400.1/867Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:55:09.237942Repositório 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 Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
title Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
spellingShingle Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
Kokilashvili, V.
title_short Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
title_full Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
title_fullStr Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
title_full_unstemmed Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
title_sort Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
author Kokilashvili, V.
author_facet Kokilashvili, V.
Paatashvili, V.
G. Samko, Stefan
author_role author
author2 Paatashvili, V.
G. Samko, Stefan
author2_role author
author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Kokilashvili, V.
Paatashvili, V.
G. Samko, Stefan
description We study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces with variable exponent. We consider both the case when the coefficient is piecewise continuous and it may be of a more general nature, admitting its oscillation. The explicit formulas for solutions in the variable exponent setting are given. The related singular integral equations in the same setting are also investigated. As an application there is derived some extension of the Szegö-Helson theorem to the case of variable exponents.
publishDate 2005
dc.date.none.fl_str_mv 2005-02-02
2005-02-02T00:00:00Z
2011-10-26T21:58:42Z
2011-10-25T19:10:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.1/867
url http://hdl.handle.net/10400.1/867
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Boundary Value Problems. 2005 Feb 02;2005(1):361409
10.1155/BVP.2005.43
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/xml
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dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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