Journal of Fourier Analysis and Applications

, Volume 15, Issue 2, pp 218-261

First online:

Weighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity

  • Diego MaldonadoAffiliated withDepartment of Mathematics, Kansas State University
  • , Virginia NaiboAffiliated withDepartment of Mathematics, Kansas State University Email author 

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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.


Paraproducts Bilinear pseudodifferential operators Bilinear Calderón–Zygmund operators

Mathematics Subject Classification (2000)

42B25 42B20 47G30