Analysis and Operator Theory Seminar - Osvaldo Mendez

May 16, 2019
Tuesday, May 21, 2019 - 11:30am to 12:25pm
Cockins Hall 240
Osvaldo Mendez

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.

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