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# Local $\VMO$ and Weak Convergence in $\hone$

A local version of $\VMO$ is defined, and the local Hardy space $\hone$ is shown to be its dual. An application to weak-$*$ convergence in $\hone$ is proved.
 MSC Classifications: 42B30 - $H^p$-spaces 46E99 - None of the above, but in this section