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Removability: First order Sobolev space, PDE solutions, holomorphic functions. - Sobolev space constructed in a new way

Andreas Wannebo

math.AParXiv:math/0401315

Abstract

Holomorphic removability is of importance in dynanical systems theory. P.W.Jones found that Sobolev removability can serve as a substitute. He proved a strong strong result for Hölder domains. The present work gives some results on the this and related matters.

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