Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class S0,0

2021/11/30 by Tomoya Kato, Akihiko Miyachi, Naohito Tomita · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods

paper · doi:10.1016/j.jfa.2021.109329

Abstract

The multilinear pseudo-differential operators with symbols in the multilinear Hörmander class S0,0 are considered. A complete identification of the cases where those operators define bounded operators between local Hardy spaces is given. Some results for the boundedness between Wiener amalgam spaces are also given. These are extensions and improvements of the results known in the bilinear case.

Citations

• Some Maximal Inequalities

Cited by

• Sharp maximal function estimates for linear and multilinear pseudo-differential operators
• Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)

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