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arXiv · 2206.09332

Multilinear pseudo-differential operators with $S_{0,0}$ class symbols of limited smoothness

Tomoya Kato
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Abstract

We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear H\"{o}rmander class $S_{0,0}$. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.

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Tomoya Kato. 2022-06-19. Multilinear pseudo-differential operators with $S_{0,0}$ class symbols of limited smoothness. https://arxiv.org/abs/2206.09332

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