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On the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$ (2010.13280v1)
Published 26 Oct 2020 in math.CA
Abstract: In this paper, the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L2 \times L2$ are determined in the framework of Besov spaces. Our result improves the $L2 \times L2 \to L1$ boundedness of those operators with symbols in the bilinear H\"ormander class $BSm_{0,0}$.
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