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arXiv · 2310.14275

Sharp maximal function estimates for linear and multilinear pseudo-differential operators

Bae Jun Park·Naohito Tomita
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Abstract

In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by Lerner, Ombrosi, P\'erez, Torres, and Trujillo-Gonz\'alez, which provides more elaborate and natural weighted estimates in the multilinear setting.

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Bae Jun Park, Naohito Tomita. 2023-10-22. Sharp maximal function estimates for linear and multilinear pseudo-differential operators. https://arxiv.org/abs/2310.14275

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