Composition operators on holomorphic variable exponent spaces

DOI10.1002/MMA.7307MaRDI QIDQ6066810

Joel Esteban Restrepo, Alexey N. Karapetyants

Publication date: 13 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Hölder spacescomposition operatorsholomorphic functionsvariable exponent

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Composition operators on a space of Lipschitz functions
• Generalized Hölder spaces of holomorphic functions in domains in the complex plane
• Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)
• Composition Operators on Analytic Lipschitz Spaces
• Fractional integrals and singular integrals in the holder classes of variable order
• Spaces BMO^p(·)(𝔻) of a variable exponent p(z)
• Generalized Hölder type spaces of harmonic functions in the unit ball and half space

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