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Analysis Seminar

Speaker: Mike Frazier

Title:  Poincare inequalities and Matrix weights

Abstract:  The first talk will be an introduction to Poincare inequalities for analysts who don't have a background in PDE.  We will explain how the simplest version of the Poincare inequality gives existence of weak solutions to Poisson's equation.  We will then discuss sharp versions of the Poincare inequality and how they follow from mapping properties of the Riesz potential.  For people in the PDE community, the first talk will be familiar and probably not worth their time, but it is background for the second talk, in which we present Hedberg's proof of the Poincare inequality using the Hardy-Littlewood maximal function, and sketch how that proof can be used to prove a version of Poincare's inequality for matrix weights in the A_p class.

Wednesday, January 22 at 2:30pm to 3:20pm

Ayres Hall, 112
1403 Circle Drive, Knoxville, TN 37996

Event Type

Lectures & Presentations

Topic

Science

Audience

Current Students, Faculty & Staff

Department

Mathematics

Contact Name

Angie Prine

Contact Email

aprine@utk.edu

Contact Phone

8659744285

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