3:00 pm Friday, January 26, 2018
Junior Analysis: Optimal Extension in Sobolev Space by Marjie Drake in 11.176
The classical Whitney extension operator is -optimal in the homogeneous Sobolev Space $L^&ob;1,p&cb;(\mathbb&ob;R&cb;^n)$ when $pn$. First proved by Shvartsman in 2010, we will discuss a variant of his proof used in broader results for extension in $L^&ob;m,p&cb;(\mathbb&ob;R&cb;^n)$, pn, by Israel and Israel, Fefferman, and Luli. If time permits, well discuss new results in the weighted Sobolev space $L^&ob;1,p&cb;(w(x)dx, \mathbb&ob;R&cb;^n)$, where is an $Ap$ weight. Submitted by
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