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math.CA2018
Strongly singular bilinear Calderón-Zygmund operators and a class of bilinear pseudodifferential operators
Árpád Bényi, Lucas Chaffee, Virginia Naibo
Motivated by the study of kernels of bilinear pseudodifferential operators with symbols in a Hörmander class of critical order, we investigate boundedness properties of strongly si…
math.CA2017
Characterization of compactness of commutators of bilinear singular integral operators
Lucas Chaffee, Peng Chen, Yanchang Han +2
The commutators of bilinear Calderón-Zygmund operators and point-wise multiplication with a symbol in are bilinear compact operators on product of Lebesgue spaces. This work…
math.CA2017
Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces
Lucas Chaffee, David Cruz-Uribe
In this article we extend recent results by the first author on the necessity of for the boundedness of commutators on the classical Lebesgue spaces. We generalize these resu…