44 citations · 102 across the 38 of their papers we have counts for
5 papers · 1 filter
Muckenhoupt-Wheeden conjectures for sparse operators
Cong Hoang, Kabe Moen
We provide an example of a pair of weights for which the Hardy-Littlewood maximal function is bounded from to and from to $L^{p'}(v^{1-…
Extrapolation in the scale of generalized reverse Hölder weights
Theresa C. Anderson, David Cruz-Uribe, Kabe Moen
We develop a theory of extrapolation for weights that satisfy a generalized reverse Hölder inequality in the scale of Orlicz spaces. This extends previous results by Auscher and Ma…
On the harmonic and geometric maximal operators
Linden Anne Duffee, Kabe Moen
We examine the harmonic and geometric maximal operators defined for a general basis of open sets in . We prove two weight norm inequalities for the harmonic maximal operator…
Weighted estimates for bilinear fractional integral operators and their commutators
Cong Hoang, Kabe Moen
In this paper we prove several weighted estimates for bilinear fractional integral operators and their commutators with BMO functions. We also prove maximal function control theore…
Matrix weighted Poincaré inequalities and applications to degenerate elliptic systems
Joshua Isralowitz, Kabe Moen
We prove Poincaré and Sobolev inequalities in matrix A weighted spaces. We then use these Poincaré inequalities to prove existence and regularity results for degenerate syste…