Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDE

DOI10.1007/s10958-022-06099-xMaRDI QIDQ6188024

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Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

maximal inequalityBessel operatorLaplace-Bessel operatorsingular Euler-Poisson-Darboux equation\(B\)-harmonic functionfractional weighted mean

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Other transforms and operators of Fourier type (43A32) Euler-Poisson-Darboux equations (35Q05) Singularity in context of PDEs (35A21) Fractional partial differential equations (35R11)

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