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Composition of linear canonical Hankel pseudo-differential operators

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In this paper, the study of linear canonical Hankel pseudo-differential operators has been extended to Sobolev-type spaces. Two versions of pseudo-differential operators involving linear canonical Hankel transformation are defined. We… Click to show full abstract

In this paper, the study of linear canonical Hankel pseudo-differential operators has been extended to Sobolev-type spaces. Two versions of pseudo-differential operators involving linear canonical Hankel transformation are defined. We have shown that the pseudo-differential operators and composition of pseudo-differential operators are bounded in certain Sobolev-type spaces associated with linear canonical Hankel transformations.

Keywords: pseudo differential; linear canonical; differential operators; canonical hankel

Journal Title: Asian-European Journal of Mathematics
Year Published: 2023

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