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On products of Sobolev-Orlicz spaces

Published online by Cambridge University Press:  17 April 2009

J. Appell  and
G. Hardy
J. Appell
Affiliation:
Mathematisches Institut, Universität Würzburg, Am Hubland D-8700 Würzsburg, Germany
G. Hardy
Affiliation:
School of External Studies and Continuing Education The University of Queensland, Queensland 4072, Australia
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Abstract

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We give conditions under which pointwise multiplication is a continuous bounded operation on kth order Sobolev-Orlicz spaces. This result is used to derive a sufficient condition under which the superposition operator is a continuous bounded operator on these spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 3 , December 1990 , pp. 427 - 436
Copyright
Copyright © Australian Mathematical Society 1990

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