Hypersingular Integrals and Parabolic Potentials

DOI10.2307/1998669zbMath0479.31004OpenAlexW4247400518MaRDI QIDQ3936989

Sagun Chanillo

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998669

zbMATH Keywords

Riesz potentialscharacterization for the potential spacessingular integrals of mixed homogeneity

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) Heat equation (35K05) Axiomatic potential theory (31D05)

Related Items (7)

Inversion of parabolic potentials with \(L_ p\)-densities ⋮ The spaces \({\mathfrak L}^\alpha_{p,r}({\mathbb{R}}^{n+1})\) of parabolic potentials ⋮ A generalization of parabolic potentials associated to Laplace–Bessel differential operator and its behavior in the weighted Lebesque spaces ⋮ A generalization of parabolic Riesz and parabolic Bessel potentials ⋮ Parabolic wavelet transforms and Lebesgue spaces of parabolic potentials. ⋮ On Hypersingular Integrals and Anisotropic Bessel Potential Spaces ⋮ On approximation properties of the parabolic potentials

Cites Work

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• Lebesgue spaces of parabolic potentials
• The characterization of functions arising as potentials
• Singular integrals with mixed homogeneity
• On Hypersingular Integrals and Lebesgue Spaces of Differentiable Functions
• On Hypersingular Integrals and Lebesgue Spaces of Differentiable Functions. II

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