3 papers
math.FA2018
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…
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…