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arXiv · 2306.14665

Estimates for a certain bilinear Fourier integral operator

Tomoya Kato·Akihiko Miyachi·Naohito Tomita
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Abstract

In this paper, we consider the boundedness from $H^{1} \times L^{\infty}$ to $L^{1}$ of bilinear Fourier integral operators with non-degenerate phase functions and amplitudes in $BS_{1,0}^{-n/2}$. Our result gives an improvement of Rodr\'iguez-L\'opez, Rule, and Staubach's result.

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Tomoya Kato, Akihiko Miyachi, Naohito Tomita. 2023-06-26. Estimates for a certain bilinear Fourier integral operator. https://arxiv.org/abs/2306.14665

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