On potentials in generalized Hölder spaces over uniform domains in \(\mathbb R^{n}\)

DOI10.1007/s13163-010-0043-6zbMath1234.46024OpenAlexW2043242195MaRDI QIDQ644549

Stefan G. Samko, Lars Diening

Publication date: 4 November 2011

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-010-0043-6

zbMATH Keywords

Hölder spacepotential operatorsuniform domainsgeneralized Hölder space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

Potential theoretic approach to Schauder estimates for the fractional Laplacian ⋮ The Plemelj–Privalov theorem in variable exponent Clifford analysis ⋮ Fractional integration and differentiation of variable order: an overview ⋮ Professor Stefan G. Samko research: a decade retrospective

Cites Work

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• Complex-order spherical potentials in spaces of variable generalized Hölder order
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• Characterization of balls by Riesz-potentials
• One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Spherical convolution operators in spaces of variable Hölder order
• Fractional Weyl-Riesz Integrodifferentiation of Periodic Functions of Two Variables via the Periodization of the Riesz Kernel
• Spherical potentials of complex order in the variable order holder spaces
• Boundedness properties of fractional integral operators associated to non-doubling measures

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