Removability: First order Sobolev space, PDE solutions, holomorphic functions. - Sobolev space constructed in a new way
Analysis of PDEs
2007-05-23 v2 Functional Analysis
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 H\"older domains. The present work gives some results on the this and related matters.
Keywords
Cite
@article{arxiv.math/0401315,
title = {Removability: First order Sobolev space, PDE solutions, holomorphic functions. - Sobolev space constructed in a new way},
author = {Andreas Wannebo},
journal= {arXiv preprint arXiv:math/0401315},
year = {2007}
}
Comments
A 1993 idea of the author. Problem left to student. Wannebo and P.Jones later worked with this idea in parallell.Result Jones' and Smirnov's paper 1999 and the above results 1996. (Warning: Non locally bounded variation not treated.)