Boundedness of pseudo-differential operators involving Kontorovich–Lebedev transform

DOI10.1080/10652469.2017.1288726zbMath1437.35719OpenAlexW2586932478MaRDI QIDQ5269316

Upain K. Mandal, Akhilesh Prasad

Publication date: 15 June 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1288726

zbMATH Keywords

convolutionpseudodifferential operatorKontorovich-Lebedev transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral transforms in distribution spaces (46F12)

Related Items (12)

The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ Lebedev–Skalskaya transforms and allied operators on certain function spaces ⋮ Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ A pair of Barut-Girardello type transforms and allied pseudo-differential operators ⋮ The convolution for zero-order Mehler–Fock transform and pseudo-differential operator ⋮ The Kontorovich-Lebedev transform and Sobolev type space ⋮ Unnamed Item ⋮ Zero-order Mehler-Fock transform and Sobolev-type space ⋮ Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators ⋮ Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type ⋮ Legendre functions, related Lebedev-Skalskaya transforms pairs and associated operators

Cites Work

• Unnamed Item
• On the least values of \(L_{p}\)-norms for the Kontorovich--Lebedev transform and its convolution
• A convolution connected with the Kontorovich-Lebedev transform
• The Kontorovich-Lebedev transformation of distributions
• Pseudo-differential operators associated with the Jacobi differential operator
• Linear partial differential operators and generalized distributions
• PSEUDO-DIFFERENTIAL OPERATORS ASSOCIATED TO A PAIR OF HANKEL–CLIFFORD TRANSFORMATIONS ON CERTAIN BEURLING TYPE FUNCTION SPACES
• Kontorovich–Lebedev transform for Boehmians
• An Introduction to Pseudo-Differential Operators

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