Michael Penrod

PhD: University of Alabama Tuscaloosa, Alabama, 05-2025 (Mathematics)

M.S.: Sam Houston State University Huntsville, TX, 05-2020 (Mathematics)

B.S.: Sam Houston State University Huntsville, TX, 12-2017 (Mathematics major, Statistical Theory minor)

My research interests include variable Lebesgue spaces and matrix weighted norm inequalities. 

08-2020 -05-2025 Graduate Teaching/Research Assistant, Teaching Assistant for 7 semesters. Research Assistant for 3 semester., University of Alabama, Tuscaloosa, Alabama

Peer Reviewed Publications

Cruz-Uribe, David; Penrod, Michael; Rodney Scott (2021. ) Poincare inequalities and Neumann problems for the variable exponent setting .Math. Eng., ,

Cruz-Uribe; Penrod, Michael (2023. ) The \epsilon-Maximal Operator and Haar Multipliers on Variable Lebesgue Spaces .Math. Inequal. Appl., ,

Cruz-Uribe; Penrod, Michael (2024. ) Convolution Operators in Matrix Weighted, Variable Lebesgue Spaces .Anal. Appl., ,

Cruz-Uribe; Penrod, Michael (2024. ) The Reverse Holder Inequality for $\mathcal{A}_{p(\cdot)}$ Weights with Applications to Matrix Weights .Publ. Mat., ,

Nieraeth, Zoe; Penrod, Michael (2025. ) Matrix-weighted bounds in variable Lebesgue spaces .Ann. Fenn. Math., ,

Invited Presentations

Michael Penrod (01-2025. ) Some Fine Properties of $\mathcal{A}_{p(\cdot)}$ Weights .2025 Joint Mathematics Meetings, Seattle, Washington.

Michael Penrod (10-2024. ) Some Fine Properties of $\mathcal{A}_{p(\cdot)}$ Weights .2024 AMS Fall Eastern Sectional Meeting, Albany, New York.

Michael Penrod (03-2024. ) Properties of Matrix $\mathcal{A}_p$ Weights .Ohio River Analysis Meeeting 13, Lexington, Kentucky.

Michael Penrod (12-2023. ) Matrix Weights and Convolution Operators in Variable Lebesgue Spaces .Canadian Mathematical Society Winter Meeting, Montreal, Canada.

Michael Penrod (03-2023. ) Matrix Weights and Convolution Operators in Variable Lebesgue Spaces .Ohio River Analysis Meeeting, Cincinnati, OH.

Poster Presentations

Michael Penrod (10-2022. ) Haar Multipliers on Variable Lebesgue Spaces .Prairie Analysis Seminar, Lawrence, Kansas. .

Colloquium

Michael Penrod (2022). Haar Multipliers on Variable Lebesgue Spaces . Analysis Seminar, University of Alabama.

Michael Penrod (2021). Poincare Inequalities and Neumann Problems for the $p(\cdot)$-Laplacian . Analysis Seminar, University of Alabama.

Academic - University of Cincinnati
penrodme@ucmail.uc.edu