On weak${}^{\ast }$-convergence in the Hardy space $H^1$ over spaces of homogeneous type

Abstract

Let $\mathcal{X}$ be a complete space of homogeneous type. In this note, we prove that the weak${}^{\ast }$-convergence is true in the Hardy space $H^1(\mathcal{X})$ of Coifman and Weiss.

arXiv commentadded Ha Duy Hung as the first author