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Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales

Journal of Functional Analysis, no. 7 (2010): 2483-2505

Cited by: 11|Views5
EI WOS SCOPUS

Abstract

We prove that atomic decomposition for the Hardy spaces h1 and H1 is valid for noncommutative martingales. We also establish that the conditioned Hardy spaces of noncommutative martingales hp and bmo form interpolation scales with respect to both complex and real interpolations.

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