Parseval-type relations and \(L^p\)-inequalities for the operators with complex Gaussian kernels

DOI10.1007/S11785-016-0612-XzbMath1364.44003OpenAlexW2551059873MaRDI QIDQ521946

Benito J. González, Emilio R. Negrin

Publication date: 12 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0612-x

zbMATH Keywords

integral transformGauss-Weierstrass semigroupParseval-type relations\(L^p\)-inequalitiescomplex Gaussian kernels

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)

New \(L^p\)-inequalities for hyperbolic weights concerning the operators with complex Gaussian kernels ⋮ On operators with complex Gaussian kernels over Lp spaces

Cites Work

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• Gaussian kernels have only Gaussian maximizers
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• Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup
• Boundedness properties for a class of integral operators including the index transforms and the operators with complex Gaussian kernels
• Operators with Complex Gaussian Kernels: Boundedness Properties
• A family of Wiener transforms associated with a pair of operators on Hilbert space

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