Tuesday, May 21, 2019 - 11:30am to 12:25pm
Cockins Hall 240
Title: A question regarding the uniform convexity of Lebesgue spaces of variable integrability.
Speaker: Osvaldo Mendez (Univeristy of Texas)
Abstract: It is well known that $L^{p(\cdot)}$ is uniformly convex if and only if the exponent $p(x)$ satisfies the $\Delta$-2 condition. We present a modular version of uniform convexity which only requires $\inf\limits_{\overline{\Omega}}>1$. Applications to Fixed Point Theory will be presented.