44 citations · 102 across the 38 of their papers we have counts for
40 papers
On off-diagonal operators in matrix-weighted spaces
David Cruz-Uribe, Aapo Laukkarinen, Kabe Moen
In this paper we prove matrix-weighted inequalities for fractional operators and their commutators. We do so by developing the theory of convex body domination for such operators.…
Weighted Sobolev Inequalities via the Meyers--Ziemer Framework: Measures, Isoperimetric Inequalities, and Endpoint Estimates
Simon Bortz, Kabe Moen, Andrea Olivo +2
We establish a new global endpoint Sobolev inequality for measures that extends the classical theorem of Meyers-Ziemer by placing a maximal function on the right-hand side. This re…
Weighted Bounded Variation Revisited
Simon Bortz, Matthew Gossett, Joseph Kasel +1
In this article, we investigate the theory of weighted functions of bounded variation (BV), as introduced by Baldi [Ba01]. Depending on the theorem, we impose lower semicontinuity…
A new look at subrepresentation formulas
Cong Hoang, Kabe Moen, Carlos Pérez
We extend the subrepresentation formula in several ways. First, we consider more general -potential operators on the right-hand side an…
Degenerate parabolic -Laplacian equations: existence, uniqueness and asymptotic behavior of solutions
David Cruz-Uribe, Kabe Moen, Yuanzhen Shao
In this paper we study the degenerate parabolic -Laplacian,, where the degeneracy is controlled by a mat…
New pointwise bounds by Riesz potential type operators
Cong Hoang, Kabe Moen, Carlos Pérez
We investigate new pointwise bounds for a class of rough integral operators, , for a parameter that includes classical rough singular integrals of Calderón and Zyg…