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arXiv · 2408.09691

Regularity of Fourier integrals on product spaces

Chaoqiang Tan·Zipeng Wang
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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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Chaoqiang Tan, Zipeng Wang. 2024-08-19. Regularity of Fourier integrals on product spaces. https://arxiv.org/abs/2408.09691

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