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Isometric multiplication of Hardy-Orlicz spaces

Published online by Cambridge University Press:  17 April 2009

W. Deeb ,
R. Khalil  and
M. Marzuq
W. Deeb
Affiliation:
Department of Mathematics Kuwait, University Kuwait.
R. Khalil
Affiliation:
Department of Mathematics Kuwait, University Kuwait.
M. Marzuq
Affiliation:
Department of Mathematics Kuwait, University Kuwait.
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Abstract

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For a modulus function φ, we define the Hardy-Orlicz space H (φ). Two main questions are discussed in this paper. First, when is a linear map mg: H (φ) → H (φ), mg (f) = g.f an isometry? Second, when is H (φ) = H1?

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 2 , October 1986 , pp. 177 - 189
Copyright
Copyright © Australian Mathematical Society 1986

References

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