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

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Book cover Factorization, Singular Operators and Related Problems

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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.

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Author information

Authors and Affiliations

  1. A. Razmadze Mathematical Institute of the Georgian Academy of Sciences, Georgia, USA

    Vakhtang Kokilashvili & Vakhtang Paatashvili

  2. Sukhumi branch of I. Djavakhishvili Tbilisi State University, Georgia, USA

    Zurab Meshveliani

Authors
  1. Vakhtang Kokilashvili
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  2. Zurab Meshveliani
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  3. Vakhtang Paatashvili
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Editor information

Editors and Affiliations

  1. Universidade do Algarve, Faro, Portugal

    Stefan Samko

  2. Instituto Superior Técnico, Lisboa, Portugal

    Amarino Lebre  & António F. dos Santos  & 

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Kokilashvili, V., Meshveliani, Z., Paatashvili, V. (2003). Boundary Value Problems for Analytic and Harmonic Functions of Smirnov Classes in Domains with Non-Smooth Boundaries. In: Samko, S., Lebre, A., dos Santos, A.F. (eds) Factorization, Singular Operators and Related Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0227-0_12

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  • DOI: https://doi.org/10.1007/978-94-017-0227-0_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6333-5

  • Online ISBN: 978-94-017-0227-0

  • eBook Packages: Springer Book Archive

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