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VMO Space Associated with Parabolic Sections and its Application
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we define a space$VM{{O}_{P}}$ associated with a family
$P$ of parabolic sections and show that the dual of
$VM{{O}_{P}}$ is the Hardy space
$H_{P}^{1}$. As an application, we prove that almost everywhere convergence of a bounded sequence in
$H_{P}^{1}$ implies weak
$^{\star }$ convergence
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- Research Article
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- Copyright © Canadian Mathematical Society 2015