14 citations · 14 across the 7 of their papers we have counts for
7 papers
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…
Analysis of hyper-singular, fractional, and order-zero singular integral operators
Lucas Chaffee, Jarod Hart, Lucas Oliveira
In this article, we conduct a study of integral operators defined in terms of non-convolution type kernels with singularities of various degrees. The operators that fall within our…
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…
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…
Characterization of compactness of the commutators of bilinear fractional integral operators
Lucas Chaffee, Rodolfo H. Torres
The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appr…
Characterizations of BMO through commutators of bilinear singular integral operators
Lucas Chaffee
In this paper we characterize BMO in terms of the boundedness of commutators of various bilinear singular integral operators with pointwise multiplication. In particular, we study…