44 citations · 102 across the 38 of their papers we have counts for
6 papers · 1 filter
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…
Compactness properties of commutators of bilinear fractional integrals
Árpád Bényi, Wendolín Damián, Kabe Moen +1
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be join…
Logarithmic bump conditions for Calderón-Zygmund Operators on spaces of homogeneous type
Theresa C. Anderson, David Cruz-Uribe, Kabe Moen
We establish two-weight norm inequalities for singular integral operators defined on spaces of homogeneous type. We do so first when the weights satisfy a double bump condition and…
A fractional Muckenhoupt-Wheeden theorem and its consequences
David Cruz-Uribe, Kabe Moen
In the 1970s Muckenhoupt and Wheeden made several conjectures relating two weight norm inequalities for the Hardy-Littlewood maximal operator to such inequalities for singular inte…
Sharp Weighted Inequalities for Multilinear Fractional Maximal Operator and Fractional Integrals
Kangwei Li, Kabe Moen, Wenchang Sun
In this paper, we study the weighted inequality for multilinear fractional maximal operators and fractional integrals. We give sharp weighted estimates for both operators.
Unions of Lebesgue spaces and majorants
Greg Knese, John E. McCarthy, Kabe Moen
We study two questions. When does a function belong to the union of Lebesgue spaces and when does a function have an majorant? We show these questions are fundamentally relat…