Multilinear Pseudo-differential Operators with [Formula omitted] Class Symbols of Limited Smoothness

Multilinear Pseudo-differential Operators with [Formula omitted] Class Symbols of Limited Smoothness

We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear Hörmander class [Formula omitted]. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.

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Veröffentlicht in:The Journal of fourier analysis and applications 2023-08, Vol.29 (4)
1. Verfasser: Kato, Tomoya
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the boundedness of the multilinear pseudo-differential operators with symbols in the multilinear Hörmander class [Formula omitted]. The aim of this paper is to discuss smoothness conditions for symbols to assure the boundedness between local Hardy spaces.
ISSN:1069-5869
DOI:10.1007/s00041-023-10016-4