The Littlewood-Paley \(g\)-function associated with the spherical mean operator

DOI10.1007/s00009-012-0229-xzbMath1271.43002OpenAlexW2116726861MaRDI QIDQ1949855

Slim Omri, Khaled Hleili

Publication date: 17 May 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0229-x

zbMATH Keywords

Littlewood-Paley \(g\)-functionPoisson semigroupspherical mean operatorGauss semigroup

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Other transforms and operators of Fourier type (43A32)

Related Items (10)

Localization of orthonormal sequences in the spherical mean setting ⋮ Spectral theorems associated with the spherical mean two-wavelet multipliers ⋮ \(L^p\)-boundedness of the Littlewood-Paley \(g\)-function associated with the spherical mean operator for \(1<p<+\infty\) ⋮ Toeplitz operators for Stockwell transform related to the spherical mean operator ⋮ Toeplitz operators for wavelet transform related to the spherical mean operator ⋮ Spectral theorems associated with the spherical mean two-wavelet localization operators ⋮ Boundedness and compactness of the spherical mean two-wavelet localization operators ⋮ Localization operators, time frequency concentration and quantitative-type uncertainty for the continuous wavelet transform associated with spherical mean operator ⋮ Boundedness and compactness of localization operators associated with the spherical mean Wigner transform ⋮ Littlewood–Paleyg-function associated with the Weinstein operator

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• Inversion ofN-Dimensional Spherical Averages
• WEYL TRANSFORMS ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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