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

Authors :: Frédéric Bernicot
Saurabh Shrivastava
Laboratoire Paul Painlevé - UMR 8524 (LPP)
Université de Lille-Centre National de la Recherche Scientifique (CNRS)
Department of Mathematics and Statistics [Kanpur]
Indian Institute of Technology Kanpur (IIT Kanpur)
Laboratoire Paul Painlevé (LPP)
Source :: Indiana University Mathematics Journal, Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2011, 60 (1), pp.233-268, Indiana University Mathematics Journal, 2011, 60 (1), pp.233-268. ⟨10.1512/iumj.2011.60.4527⟩
Publication Year :: 2011
Publisher :: Indiana University Mathematics Journal, 2011.
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 $BS^0_{0,0}$.<br />Comment: 27 pages

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