IUMJ

Title: Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators

Authors: Frederic Bernicot and Saurabh Shrivastava

Issue: Volume 60 (2011), Issue 1, 233-268

Abstract:

This paper is devoted to the proof of boundedness of bilinear smooth square functions. Moreover, we deduce boundedness of some bilinear pseudo-differential operators associated with symbols belonging to a subclass of $BS^0_{0,0}$.