5 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 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…
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…
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…