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Open Access Research Article

Generalized fractional Hankel-Clifford convolution, translation, and norm equalities in Sobolev spaces : A Pseudo-differential operator approach

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pp. 423–436Vol. 29Issue 2February 2026DOI: 10.47974/JIM-2384XML
Received:
27 Mar 2025
Published Online:
14 Feb 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2384
Pages:
423–436

Abstract

This paper introduces the generalized fractional Hankel-Clifford convolution and translation. It also focuses on pseudo-differential operators that satisfy a certain L1α,β,a,b-norm inequality when using the fractional power of generalized Hankel- Clifford transforms. And the properties of Sobolev-type space Gsα,β,a,b are studied. 

Keywords

Subject Classifications

46F1246F0547G30

References

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