Investigates bounded linear mappings of pseudo-differential operators in relation to special affine Fourier transform, suggesting implications for functional analysis.
This paper investigates the theory of general pseudo-differential operators associated with the multidimensional Special Affine Fourier Transform (SAFT). We introduce a symbol class Sm and define the corresponding pseudo-differential operators through the multidimensional SAFT framework. Our main results establish that these operators are bounded linears mappings on both Lp(Rn) and Sobolev spaces Ws,p(Rn) for all 1<p<∞.
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Han et al. (2026) studied this question.
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