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arxiv: 1010.1320 · v2 · pith:LENYYLLUnew · submitted 2010-10-07 · 🧮 math.CA

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

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keywords bilinearboundednessfunctionsoperatorspseudo-differentialsmoothsomesquare
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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 $BS^0_{0,0}$.

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