Estimates for the Poisson kernel and Hardy spaces on compact manifolds

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dc.contributor.authordos Santos, LAC
dc.contributor.authorHounie, J.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.date.accessioned2014-05-20T13:23:30Z
dc.date.available2014-05-20T13:23:30Z
dc.date.issued2004-11-15
dc.description.abstractWe study Hardy spaces on the boundary of a smooth open subset or R-n and prove that they can be defined either through the intrinsic maximal function or through Poisson integrals, yielding identical spaces. This extends to any smooth open subset of R-n results already known for the unit ball. As an application, a characterization of the weak boundary values of functions that belong to holomorphic Hardy spaces is given, which implies an F. and M. Riesz type theorem. (C) 2004 Elsevier B.V. All rights reserved.en
dc.description.affiliationUNESP, Dept Matemat, Presidente Prudente, SP, Brazil
dc.description.affiliationUFSCAR, Dept Matemat, Sao Carlos, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Matemat, Presidente Prudente, SP, Brazil
dc.format.extent465-493
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2004.03.080
dc.identifier.citationJournal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 299, n. 2, p. 465-493, 2004.
dc.identifier.doi10.1016/j.jmaa.2004.03.080
dc.identifier.fileWOS000224903900012.pdf
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11449/7089
dc.identifier.wosWOS:000224903900012
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.ispartofjcr1.138
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleEstimates for the Poisson kernel and Hardy spaces on compact manifoldsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.departmentMatemática e Computação - FCTpt

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Presidente Prudente - FCT - Faculdade de Ciências e Tecnologia