Zygmund-type estimates for fractional integration and differentiation operators of variable order

DOI10.3103/S1066369X11060041zbMath1266.47053MaRDI QIDQ1759171

E. S. Kochurov, N. G. Samko, B. G. Vakulov

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized continuity modulusgeneralized Hölder spacesfractional differentiation operatorsfractional integration operators

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38)

Related Items (1)

Riesz potential with integrable density in Hölder-variable spaces

Cites Work

• Weighted Zygmund estimates for fractional differentiation and integration, and their applications
• Parameter depending almost monotonic functions and their applications to dimensions in metric measures spaces
• Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)
• Spherical convolution operators in spaces of variable Hölder order
• On non-equilibrated almost monotonic functions of the Zygmund-Bary-Stechkin class
• Singular integral operators in weighted spaces of continuous functions with non-equilibrated continuity modulus
• Spherical potentials of complex order in the variable order holder spaces
• On some classes of functions with regard to their orders of growth
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