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VMO Space Associated with Parabolic Sections and its Application

  • Ming-Hsiu Hsu (a1) and Ming-Yi Lee (a1)

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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VMO Space Associated with Parabolic Sections and its Application

  • Ming-Hsiu Hsu (a1) and Ming-Yi Lee (a1)

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