Mappings of finite distortion: Removable singularities for locally homeomorphic mappings
Author:
Kai Rajala
Journal:
Proc. Amer. Math. Soc. 132 (2004), 3251-3258
MSC (2000):
Primary 30C65
DOI:
https://doi.org/10.1090/S0002-9939-04-07459-3
Published electronically:
May 12, 2004
MathSciNet review:
2073299
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a locally homeomorphic mapping of finite distortion in dimension larger than two. We show that when the distortion of
satisfies a certain subexponential integrability condition, small sets are removable. The smallness is measured by a weighted modulus.
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Additional Information
Kai Rajala
Affiliation:
University of Jyväskylä, Department of Mathematics and Statistics, P.O. Box 35, FIN-40014 University of Jyväskylä, Finland
Email:
kirajala@maths.jyu.fi
DOI:
https://doi.org/10.1090/S0002-9939-04-07459-3
Received by editor(s):
February 12, 2003
Received by editor(s) in revised form:
July 2, 2003
Published electronically:
May 12, 2004
Additional Notes:
The author was supported by the foundations Magnus Ehrnroothin Säätiö and Vilho, Yrjö ja Kalle Väisälän Rahasto. A part of this research was done when the author was visiting at the University of Michigan. He wishes to thank the department for its hospitality.
Communicated by:
Juha M. Heinonen
Article copyright:
© Copyright 2004
American Mathematical Society