Michael Penrod

collaborators

2 papers

math.CA2023

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 $A_{p}$ weights has attracted considerable attention beginning with the work of…

math.CA2022

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 $ε$ -maximal operator to prove the Haar multiplier is bounded on the weighted spaces $L^{p} (w)$ for a class of weights larger t…