2013-09-16 16:00 ~ 2013-09-16 17:00
Dr. Daniel Spector (Technion - Israel Institute of Technology
)
國立清華大學綜三館 R631
On L^{p-star}-differentiability of Sobolev Functions
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
Tea Time: 3:30PM, R707
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