Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions

DOI10.1007/S13324-021-00587-0OpenAlexW3193714213WikidataQ114220033 ScholiaQ114220033MaRDI QIDQ2240802

Alexey N. Karapetyants, Stefan G. Samko

Publication date: 4 November 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00587-0

zbMATH Keywords

fractional integro-differentiationHadamard-Bergman convolution operatorsHölder space of holomorphic functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (7)

A note on Hadamard-Bergman convolution operators ⋮ Hadamard-Bergman operators on weighted spaces ⋮ Boundedness of Hadamard-Bergman and variable Hadamard-Bergman convolution operators ⋮ Homogeneous operators and homogeneous integral operators ⋮ Professor Stefan G. Samko research: a decade retrospective ⋮ Toeplitz operators with radial symbols on general analytic function spaces ⋮ Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces

Cites Work

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• Generalized Hölder spaces of holomorphic functions in domains in the complex plane
• Hadamard-Bergman convolution operators
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• Fractional integrals and derivatives: mapping properties
• Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic
• Holomorphic Hölder‐type spaces and composition operators

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