\(L^{p}\)-inequalities and Parseval-type relations for the Mehler-Fock transform of general order

DOI10.1215/20088752-0000008XzbMath1360.44003OpenAlexW2584644758MaRDI QIDQ516341

Benito J. González, Emilio R. Negrin

Publication date: 14 March 2017

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1485918116

zbMATH Keywords

Mehler-Fock transform\(L^{p}\)-boundedness\(L^{p}\)-inequalitiesassociated Legendre functiongeneral orderParseval-type relations

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) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Abelian theorems for Laplace and Mehler-Fock transforms of generalized functions ⋮ Abelian theorems for distributional Kontorovich-Lebedev and Mehler-Fock transforms of general order

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