Bilinear Hormander classes of critical order and Leibniz-type rules in Besov and local Hardy spaces

摘要

Boundedness properties for bilinear pseudodifferential operators that go beyond the Calderon-Zygmund theory and whose symbols belong to the bilinear Hormander classes of critical order are established. Such operators are shown to satisfy Leibniz-type rules in the setting of Besov and local Hardy spaces. (C) 2019 Elsevier Inc. All rights reserved.