Michael Penrod

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20212025

most citedMatrix-weighted bounds in variable Lebesgue spaces

2 citations · 2 across the 5 of their papers we have counts for

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math.CA2024

The reverse Hölder inequality for $A_{p (\cdot)}$ 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 $A_{p (\cdot)}$ , introduced by the first author, Fiorenza, and Neugeabauer…

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…

The reverse Hölder inequality for Ap(⋅)​ weights with applications to matrix weights

Convolution Operators in Matrix Weighted, Variable Lebesgue Spaces

The ε-Maximal Operator and Haar Multipliers on Variable Lebesgue Spaces

The reverse Hölder inequality for $A_{p (\cdot)}$ weights with applications to matrix weights