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

Kokilashvili, V.; Paatashvili, V.; G. Samko, Stefan

Publication

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

2005-02-02Journal article

dc.contributor.author	Kokilashvili, V.
dc.contributor.author	Paatashvili, V.
dc.contributor.author	G. Samko, Stefan
dc.date.accessioned	2011-10-26T21:58:42Z
dc.date.available	2011-10-26T21:58:42Z
dc.date.issued	2005-02-02
dc.date.updated	2011-10-25T19:10:18Z
dc.description.abstract	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.
dc.identifier.citation	Boundary Value Problems. 2005 Feb 02;2005(1):361409
dc.identifier.doi	10.1155/BVP.2005.43
dc.identifier.uri	http://hdl.handle.net/10400.1/867
dc.language.iso	eng
dc.peerreviewed	yes
dc.publisher	Hindawi Publishing Corporation
dc.title	Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in
dc.type	journal article
dspace.entity.type	Publication
person.familyName	Samko
person.givenName	Stefan
person.identifier.orcid	0000-0002-8022-2863
person.identifier.rid	M-3726-2013
person.identifier.scopus-author-id	6603416048
rcaap.rights	openAccess
rcaap.type	article
relation.isAuthorOfPublication	7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isAuthorOfPublication.latestForDiscovery	7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4