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Analysis Seminar – Scott Rodney, Cape Breton University
September 14, 2018 @ 3:00 pm - 4:00 pm
Title: Compact Embeddings of Weighted Sobolev Spaces
Abstract: In this talk I will discuss some improvements to recent results concerning the compact em-
bedding of generalized Sobolev classes into weighted Lq spaces. The novelty of the result lay in
the approach. Arguments use Cauchy sequences rather than distributional denitions of Sobolev
classes. As a result, the main theorem applies without requirement of a positive answer to a
Myers-Serrin H = W question.
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