2 citations · 2 across the 5 of their papers we have counts for
5 papers
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 Cru…
The reverse Hölder inequality for weights with applications to matrix weights
David Cruz-Uribe, Michael Penrod
In this paper we prove a reverse Hölder inequality for the variable exponent Muckenhoupt weights , introduced by the first author, Fiorenza, and Neugeabauer…
Convolution Operators in Matrix Weighted, Variable Lebesgue Spaces
David Cruz-Uribe, Michael Penrod
We extend the theory of matrix weights to the variable Lebesgue spaces. The theory of matrix weights has attracted considerable attention beginning with the work of…
The ε-Maximal Operator and Haar Multipliers on Variable Lebesgue Spaces
David Cruz-Uribe, Michael Penrod
C. Stockdale, P. Villarroya, and B. Wick introduced the -maximal operator to prove the Haar multiplier is bounded on the weighted spaces for a class of weights larger t…
Poincaré Inequalities and Neumann Problems for the Variable Exponent Setting
David Cruz-Uribe, Michael Penrod, Scott Rodney
We extend the results of [5], where we proved an equivalence between weighted Poincaré inequalities and the existence of weak solutions to a family of Neumann problems related to a…