On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms

DOI10.1007/S10114-017-7151-XzbMath1387.35643OpenAlexW2771062169MaRDI QIDQ681749

Akhilesh Prasad, Kanailal Mahato

Publication date: 13 February 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-7151-x

zbMATH Keywords

Bessel operatorpseudo-differential operatorsSobolev type spacefractional Hankel convolutionfractional Hankel integral transform

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) Pseudodifferential operators (47G30)

Related Items (3)

The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces ⋮ Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces

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