On the ranges of bilinear pseudo-differential operators of S0,0-type on L2 × L2

In this paper, the ranges of bilinear pseudo-differential operators of S0,0-type on L2×L2 are determined in the framework of Besov spaces. Our result improves the L2×L2→L1 boundedness of those operators with symbols in the bilinear Hörmander class BS0,0m.

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Veröffentlicht in:Journal of functional analysis 2021-02, Vol.280 (3), p.108826, Article 108826
Hauptverfasser: Hamada, Naoki, Shida, Naoto, Tomita, Naohito
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, the ranges of bilinear pseudo-differential operators of S0,0-type on L2×L2 are determined in the framework of Besov spaces. Our result improves the L2×L2→L1 boundedness of those operators with symbols in the bilinear Hörmander class BS0,0m.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2020.108826