Some estimates for commutators of bilinear pseudo-differential operators

Abstract

We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.

Keywords

• bilinear pseudo-differential operator
• commutator
• lipschitz function
• hardy space
• herz-type space
• 42b20
• 42b25
• 47g30