Regularity of Fourier integrals on product spaces

Published 19 Aug 2024 in math.CA | (2408.09691v2)

Abstract: We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on R^N. We show that these operators of order -(N-1)/2 are bounded from classical, atom decomposable H^1-Hardy space to L^{1(R^N).} Consequently, we obtain a sharp L^p-regularity result due to Seeger, Sogge and Stein.

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