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arXiv · 2305.17870

Estimates for some bilinear wave operators

Tomoya Kato·Akihiko Miyachi·Naohito Tomita
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Abstract

We consider some bilinear Fourier multiplier operators and give a bilinear version of Seeger, Sogge, and Stein's result for Fourier integral operators. Our results improve, for the case of Fourier multiplier operators, Rodr\'iguez-L\'opez, Rule, and Staubach's result for bilinear Fourier integral operators. The sharpness of the results is also considered.

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Tomoya Kato, Akihiko Miyachi, Naohito Tomita. 2023-05-29. Estimates for some bilinear wave operators. https://arxiv.org/abs/2305.17870

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