Kato-Ponce type inequality for bilinear pseudo-differential operators of $S_{0,0}$-type in the scale of Besov spaces

Abstract

We consider the Kato-Ponce type inequality for bilinear pseudo-differential operators with $S_{0,0}$-type symbols in the scale of Besov spaces. In particular, the borderline whether the boundedness of those operators holds or not is discussed.

15 pages

References in corpus (3)

• Bilinear pseudo-differential operators with exotic symbols
• Bilinear pseudo-differential operators with exotic class symbols of limited smoothness
• On the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2\times L^2$