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College of Liberal Arts and Sciences | Mathematics

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February 13, 2019 | 1:00 p.m. - 2:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free
Speaker: Fernando Charro (WSU)
 
Title: Optimal embedding into the Lebesgue spaces for functions with gradient in the Morrey space

Abstract: 

We will address the following natural question:
Given a function with support in the unit ball in dimension n, and with gradient in the Morrey space $M^{p,lambda}(B_1(0))$, which is the largest, or optimal, exponent $q$ such that $uin L^{q}(B_1(0))$?
 
We provide a counterexample for $q>lambda p/(lambda-p)$ and discuss several other candidates which did not seem to work. This is a joint work with Xavier Cabre.
For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.