Smirnov classes of analytic functions with variable exponent in multiply connected domains

DOI10.1080/17476933.2015.1053474zbMath1395.30056OpenAlexW1754727695MaRDI QIDQ3466929

Vakhtang Paatashvili

Publication date: 25 January 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1053474

zbMATH Keywords

multiply connected domainLebesgue space with variable exponentCauchy-type integralSmirnov classes of analytic functions with variable exponent

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25) Nevanlinna spaces and Smirnov spaces (30H15)

Related Items (1)

On the variable exponent Riemann boundary value problem for Liapunov open curve

Cites Work

• Unnamed Item
• The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with piecewise smooth boundary
• Lebesgue and Sobolev spaces with variable exponents
• Generalization of I. Vekua's integral representations of holomorphic functions and their application to the Riemann-Hilbert-Poincaré problem
• The Riemann-Hilbert problem in weighted classes of Cauchy type integrals with density from \(L^{P(\cdot)}(\Gamma)\)
• Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in \(L^{p(\cdot)}(\Gamma)\)
• Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann
• Weighted Hardy and Smirnov classes and the Dirichlet problem for a ring within the framework of variable exponent analysis
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics

This page was built for publication: Smirnov classes of analytic functions with variable exponent in multiply connected domains