A Sobolev Extension Domain That is Not Uniform |
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| Authors: | Shanshuang Yang |
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| Affiliation: | (1) Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA |
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| Abstract: | In this paper we construct a Sobolev extension domain which, together with its complement, is topologically as nice as possible and yet not uniform. This shows that the well known implication that Uniform  Sobolev extension cannot be reversed under strongest possible topological conditions. |
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| Keywords: | Primary: 46E35 Secondary: 30C65 |
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