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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Generalized dimension distortion under planar Sobolev homeomorphisms

Author(s): Pekka Koskela; Aleksandra Zapadinskaya; Thomas Zürcher
Journal: Proc. Amer. Math. Soc. 137 (2009), 3815-3821.
MSC (2000): Primary 30C65
Posted: June 9, 2009
MathSciNet review: 2529891
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Abstract | References | Similar articles | Additional information

Abstract: We prove essentially sharp dimension distortion estimates for planar Sobolev-Orlicz homeomorphisms.

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Additional Information:

Pekka Koskela
Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FIN-40014 Jyväskylä, Finland
Email: pkoskela@maths.jyu.fi

Aleksandra Zapadinskaya
Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FIN-40014 Jyväskylä, Finland
Email: alzapadi@cc.jyu.fi

Thomas Zürcher
Affiliation: Mathematical Institute, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Address at time of publication: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FIN-40014 Jyväskylä, Finland
Email: thomas.zuercher@math.unibe.ch, thomas.t.zurcher@jyu.fi

DOI: 10.1090/S0002-9939-09-09948-1
PII: S 0002-9939(09)09948-1
Received by editor(s): October 17, 2008,
Received by editor(s) in revised form: February 26, 2009
Posted: June 9, 2009
Additional Notes: The first author was supported partially by the Academy of Finland, grant No. 120972
The second author was supported partially by the Academy of Finland, grant No. 120972
The third author was supported by the Swiss National Science Foundation and GALA
Communicated by: Mario Bonk
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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