On L^{p-star}-differentiability of Sobolev Functions
Dr. Daniel E. SpectorIsrael Institute of Technology 下午 1:20–2:50 鴻經館 107 室 Abstract
A basic result in the theory of the Sobolev spaces is the L^p-differentiability of Sobolev functions - essentially a consequence of the Lebesgue differentiation theorem. Less known is the use of the Sobolev embedding theorem to improve this result to so-called L^{p-star}-differentiability. In this talk I will discuss a recent result on characterizing Sobolev spaces that turns out to be related to this result, which was quite surprising for us. This talk is partially based on joint work with my graduate advisor, Giovanni Leoni.