Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales

Details Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales

2009-06-24

arxiv.org/abs/0906.4437v2

Mathematics

Operator Algebras

Scientific paper

We prove that atomic decomposition for the Hardy spaces h_1 and H_1 is valid
for noncommutative martingales. We also establish that the conditioned Hardy
spaces of noncommutative martingales h_p and bmo form interpolation scales with
respect to both complex and real interpolations.

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