On operator valued Hardy spaces

Denis Potapov

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arXiv · 1011.6209

On operator valued Hardy spaces

Denis Potapov

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Abstract

The note shows that the operator-valued Hardy space $\sH^1$ introduced via Littlewood-Paley $g$-function coincides with the space of $H^1_R(\T, \sL^1)$ of all Bochner integrable operator-valued functions with integrable analytic part. The proof is based on the noncommutative maximal inequality for Poisson group.

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BibTeX RIS

Denis Potapov. 2010-11-29. On operator valued Hardy spaces. https://arxiv.org/abs/1011.6209

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