Spherical potentials of complex order in the variable order holder spaces

DOI10.1080/10652460412331310304zbMath1077.46019OpenAlexW2136381148MaRDI QIDQ4681096

B. G. Vakulov

Publication date: 14 June 2005

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460412331310304

zbMATH Keywords

spherical potentialshypersingular spherical integralvariable order Hölder spaces

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fractional derivatives and integrals (26A33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (9)

Fractional integrals and derivatives: mapping properties ⋮ Fractional integration and differentiation of variable order: an overview ⋮ Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators ⋮ Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces ⋮ On potentials in generalized Hölder spaces over uniform domains in \(\mathbb R^{n}\) ⋮ Zygmund-type estimates for fractional integration and differentiation operators of variable order ⋮ Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic ⋮ Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order ⋮ Schauder theory in variable Hölder spaces

Cites Work

• Unnamed Item
• Construction of continuous functions with prescribed local regularity
• Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)
• Fractional integrals and singular integrals in the holder classes of variable order

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