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Continuity of the superposition operator on Orlicz-Sobolev spaces

Published online by Cambridge University Press:  17 April 2009

G. Hardy  and
H.B. Thompson
G. Hardy
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia
H.B. Thompson
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia
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Abstract

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We give sufficient conditions for a homogeneous superposition operator to be a continuous mapping between Orlicz-Sobolev spaces. This extends a result of Marcus and Mizel concerning mappings between Sobolev spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 59 - 72
Copyright
Copyright © Australian Mathematical Society 1994

References

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