Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces

DOI10.1007/S13540-022-00040-4zbMath1503.46022OpenAlexW4229450776WikidataQ112879757 ScholiaQ112879757MaRDI QIDQ2110523

Evelyn Morales, Alexey N. Karapetyants

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00040-4

zbMATH Keywords

fractional calculusZygmund estimatesHolder spacesoperators of fractional integration of variable order

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) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Hadamard-Bergman operators on weighted spaces ⋮ Boundedness of Hadamard-Bergman and variable Hadamard-Bergman convolution operators

Cites Work

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• Generalized Hölder spaces of holomorphic functions in domains in the complex plane
• Hadamard-Bergman convolution operators
• Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions
• 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
• Boundedness of composition operators in holomorphic Hölder type spaces
• Holomorphic Hölder‐type spaces and composition operators

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