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Local VMO and Weak Convergence in h1

Published online by Cambridge University Press:  20 November 2018

Galia Dafni
Galia Dafni*
Affiliation:
Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. W., Montréal, Québec, H3G 1M8, email: gdafni@discrete.concordia.ca
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Abstract

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A local version of $\text{VMO}$ is defined, and the local Hardy space ${{h}_{1}}$ is shown to be its dual. An application to weak-$*$ convergence in ${{h}_{1}}$ is proved.

Keywords

42B3046E99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 1 , 01 March 2002 , pp. 46 - 59
Copyright
Copyright © Canadian Mathematical Society 2002

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