Boundary Value Problems for Analytic and Harmonic Functions of Smirnov Classes in Domains with Non-Smooth Boundaries

Vakhtang Kokilashvili (), Zurab Meshveliani () and Vakhtang Paatashvili ()
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Vakhtang Kokilashvili: A. Razmadze Mathematical Institute of the Georgian Academy of Sciences
Zurab Meshveliani: Sukhumi branch of I. Djavakhishvili Tbilisi State University
Vakhtang Paatashvili: A. Razmadze Mathematical Institute of the Georgian Academy of Sciences

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 175-196 from Springer

Abstract: Abstract The Riemann boundary value problem for analytic functions with boundary values from various function spaces is solved. The results are applied to the Dirichlet problem for harmonic functions of weighted Smirnov classes in domains with non-smooth boundaries.

Keywords: Analytic functions; Riemann boundary value problem; Cauchy type integral; piecewise smooth boundary; Smirnov class; harmonic functions; Dirichlet problems; Zygmund class. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_12

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DOI: 10.1007/978-94-017-0227-0_12

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