1. Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators
- Author
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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), and Laboratoire Paul Painlevé (LPP)
- Subjects
Pure mathematics ,Tiles ,Mathematical intervals ,47G30, 42B15, 42C10, 35S99 ,General Mathematics ,010102 general mathematics ,Bilinear interpolation ,Fourier transformations ,Reasoning ,[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] ,Differential operator ,01 natural sciences ,Musical intervals ,Square (algebra) ,010101 applied mathematics ,Mathematical functions ,Mathematics - Classical Analysis and ODEs ,Mathematical theorems ,Classical Analysis and ODEs (math.CA) ,FOS: Mathematics ,Integers ,0101 mathematics ,Mathematical vectors ,Mathematics - 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 $BS^0_{0,0}$., Comment: 27 pages
- Published
- 2011
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