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arXiv · 1608.07376

On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Ming-Yi Lee·Ji Li·Lesley A. Ward
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Abstract

A classical theorem of Jones and Journ\'e on weak-star convergence in the Hardy space $H^1$ was generalised to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use for this setting are from recent work in papers by Chen, Li and Ward and by Han, Li and Ward.

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Ming-Yi Lee, Ji Li, Lesley A. Ward. 2016-08-26. On weak-star convergence in product Hardy spaces on spaces of homogeneous type. https://arxiv.org/abs/1608.07376

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