On weak$^*$-convergence in the Hardy space $H^1$ over spaces of homogeneous type

Ha Duy Hung; Luong Dang Ky

arxiv: 1510.01019 · v2 · pith:LYXU7UB6new · submitted 2015-10-05 · 🧮 math.CA · math.FA

On weak^*-convergence in the Hardy space H¹ over spaces of homogeneous type

Ha Duy Hung , Luong Dang Ky This is my paper

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keywords spaceconvergencehardyhomogeneousmathcaltypeweakcoifman

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

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On weak^*-convergence in the Hardy space H¹ over spaces of homogeneous type

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