4 papers
The Muckenhoupt condition
Zoe Nieraeth
The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new charact…
Matrix-weighted bounds in variable Lebesgue spaces
Zoe Nieraeth, Michael Penrod
In this paper we prove boundedness of Calderón-Zygmund operators and the Christ-Goldberg maximal operator in the matrix-weighted variable Lebesgue spaces recently introduced by Cr…
A lattice approach to matrix weights
Zoe Nieraeth
In this paper we recontextualize the theory of matrix weights within the setting of Banach lattices. We define an intrinsic notion of directional Banach function spaces, generalizi…
Multilinear matrix weights
Spyridon Kakaroumpas, Zoe Nieraeth
In this work we fully characterize the classes of matrix weights for which multilinear Calderón-Zygmund operators extend to bounded operators on matrix weighted Lebesgue spaces. T…