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math.CA2022
Discrete bilinear operators and commutators
Árpád Bényi, Tadahiro Oh
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols i…
math.CA2015
Linear and bilinear theorems à la Stein
Árpád Bényi, Tadahiro Oh
In this work, we state and prove versions of the linear and bilinear theorems involving quantitative estimates, analogous to the quantitative linear theorem due to St…
math.CA2013
Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators
Árpád Bényi, Tadahiro Oh
Commutators of bilinear pseudodifferential operators with symbols in the Hörmander class BS_{1, 0}^1 and multiplication by Lipschitz functions are shown to be bilinear Calderón-Zyg…