The Kontorovich-Lebedev transform and Sobolev type space

DOI10.1007/S11785-017-0734-9zbMath1390.44012OpenAlexW2761536021MaRDI QIDQ1743875

Akhilesh Prasad, Upain K. Mandal

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11785-017-0734-9

zbMATH Keywords

convolutionBanach spaceKontorovich-Lebedev transformpseudo-differential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Integral transforms of special functions (44A20)

Related Items (4)

The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform ⋮ Legendre functions, related Lebedev-Skalskaya transforms pairs and associated operators

Cites Work

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• An Introduction to Pseudo-Differential Operators
• NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms

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