Weighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity
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We establish boundedness properties on products of weighted Lebesgue, Hardy, and amalgam spaces of certain paraproducts and bilinear pseudodifferential operators with mild regularity. We do so by showing that these operators can be realized as generalized bilinear Calderón–Zygmund operators.
KeywordsParaproducts Bilinear pseudodifferential operators Bilinear Calderón–Zygmund operators
Mathematics Subject Classification (2000)42B25 42B20 47G30
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