On Hypersingular Integrals and Anisotropic Bessel Potential Spaces

DOI10.2307/1999412zbMath0558.42009OpenAlexW4248855805MaRDI QIDQ3223332

Henry Dappa, Walter Trebels

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999412

zbMATH Keywords

hypersingular integralsanisotropic space of Bessel potentials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (4)

Unnamed Item ⋮ Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions ⋮ The Wiener algebra of absolutely convergent Fourier integrals: an overview ⋮ On maximal functions generated by Fourier multipliers

Cites Work

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• On \(L^ 1\)-criteria for quasi-radial Fourier multipliers with applications to some anisotropic function spaces
• Restrictions and extensions of potentials of \(H^p\) distributions
• Hypersingular Integrals and Parabolic Potentials
• Problems in harmonic analysis related to curvature
• Composition of hypersingular integral operators
• The characterization of functions arising as potentials
• On Hypersingular Integrals and Lebesgue Spaces of Differentiable Functions
• On Littlewood-Paley functions

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