Boundedness properties for a class of integral operators including the index transforms and the operators with complex Gaussian kernels

DOI10.1016/J.JMAA.2003.12.037zbMath1055.45006OpenAlexW1966318523MaRDI QIDQ1827080

Benito J. González, Emilio R. Negrin

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.037

zbMATH Keywords

hypergeometric functionsintegral operatorsKontorovich-Lebedev transformMehler-Fock transformGauss functionindex transforms\({_2F_1}\) transformOlevskii transformweighted \(Lp\)-space

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) Integral transforms of special functions (44A20) Integral operators (45P05) Integral operators (47G10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

New \(L^p\)-inequalities for hyperbolic weights concerning the operators with complex Gaussian kernels ⋮ Parseval-type relations and \(L^p\)-inequalities for the operators with complex Gaussian kernels ⋮ NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms ⋮ On operators with complex Gaussian kernels over Lp spaces

Cites Work

• Operators with Complex Gaussian Kernels: Boundedness Properties
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