On operator valued Hardy spaces

Details On operator valued Hardy spaces On operator valued Hardy spaces

2010-11-29

arxiv.org/abs/1011.6209v2

Mathematics

Functional Analysis

This paper has been withdrawn by the author. The current argument has an error. The current result implies that every Calderon

Scientific paper

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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