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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 3, Pages 107–116 (Mi vuu287)  
MATHEMATICS

Dirichlet problem for holomorphic functions in spaces with determined modulus of continuity

A. Yu. Timofeev

Syktyvkar State University, Syktyvkar, Russia
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Abstract: We study and solve the Dirichlet problem for holomorphic functions in spaces with a determined modulus of continuity: the existence of the function which is holomorphic inside a disk is proved by the limit values of its real part on the disk's boundary.
Keywords: Dirichlet problem, holomorphic functions, modulus of continuity.
Received: 25.04.2011
Document Type: Article
UDC: 517.53
MSC: 30E25
Language: Russian
Citation: A. Yu. Timofeev, “Dirichlet problem for holomorphic functions in spaces with determined modulus of continuity”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 107–116
Citation in format AMSBIB
\Bibitem{Tim11}
\by A.~Yu.~Timofeev
\paper Dirichlet problem for holomorphic functions in spaces with determined modulus of continuity
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 3
\pages 107--116
\mathnet{http://mi.mathnet.ru/vuu287}
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