Regularity and integrability of spherical means

DOI10.1007/BF01471211zbMath0519.42018OpenAlexW129548211MaRDI QIDQ1054945

Per Sjoelin

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178154

zbMATH Keywords

regularityintegrabilityspherical meansLp-spacesLipschitz spacesconvergence of Fourier integrals

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis in several variables (42B99)

Related Items (13)

On generalized localization of Fourier inversion for distributions ⋮ Localisation of spectral sums corresponding to the sub-Laplacian on the Heisenberg group ⋮ Generalized localization of Riesz means of spectral expansions of distributions ⋮ Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ On generalized localization of Fourier inversion associated with an elliptic operator for distributions ⋮ Some remarks on localization of Schrödinger means ⋮ Generalized localization of Fourier series with respect to the eigenfunctions of the Laplace operator in the classes \(L_ p\) ⋮ The generalized localization for multiple Fourier integrals ⋮ Generalized localization for spherical partial sums of multiple Fourier series ⋮ Generalized localization for spherical partial sums of multiple Fourier series ⋮ Regularity of averages over hypersurfaces ⋮ Localization of spherical harmonic expansions ⋮ Norm inequalities for spherical means

Cites Work

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