57 citations · 121 across the 12 of their papers we have counts for
14 papers
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Árpád Bényi, José María Martell, Kabe Moen +2
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settin…
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…
John-Nirenberg Inequalities and Weight Invariant BMO Spaces
Jarod Hart, Rodolfo H. Torres
This work explores new deep connections between John-Nirenberg type inequalities and Muckenhoupt weight invariance for a large class of -type spaces. The results are formulate…
Smoothing Properties of Bilinear Operators and Leibniz-Type Rules in Lebesgue and Mixed Lebesgue Spaces
Jarod Hart, Rodolfo H. Torres, Xinfeng Wu
We prove that bilinear fractional integral operators and similar multipliers are smoothing in the sense that they improve the regularity of functions. We also treat bilinear singul…
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…
Compact bilinear commutators: the weighted case
Árpád Bényi, Wendolín Damián, Kabe Moen +1
Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be comp…