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Sharp Exponential Integrability for Traces of Monotone Sobolev Functions

Published online by Cambridge University Press:  11 January 2016

Pekka Pankka ,
Pietro Poggi-Corradini  and
Kai Rajala
Pekka Pankka
Affiliation:
Department of Mathematics University of Michigan, Ann Arbor, MI 48109, USA, pankka@umich.edu
Pietro Poggi-Corradini
Affiliation:
Department of Mathematics Cardwell Hall Kansas State University, Manhattan, KS 66506, USA, pietro@math.ksu.edu
Kai Rajala
Affiliation:
Department of Mathematics and Statistics, P. O. Box 35 (MaD), FI-40014, Univ. of Jyväskylä, Finland, kirajala@maths.jyu.fi
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Abstract

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We answer a question posed in [12] on exponential integrability of functions of restricted n-energy. We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.

Keywords

46E3531C45
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 192 , 2008 , pp. 137 - 149
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2008

References

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