Journal of Operator Theory
Volume 77, Issue 2, Spring 2017 pp. 245-259.
Interpolation of noncommutative symmetric martingale
spaces
Authors:
Turdebek N. Bekjan
Author institution: L. N. Gumilyov Eurasian National University,
Astana, 010008, Kazakhstan
Summary: Let $E_0, E_1$ be symmetric spaces on $[0,\infty)$,
$0<\theta<1$ and $E=(E_0,E_1)_\theta$. We prove that for the Hardy spaces
and conditioned Hardy spaces of noncommutative martingales the analogue of
this relationship
holds under some conditions.
DOI: http://dx.doi.org/10.7900/jot.2015nov01.2142
Keywords: noncommutative martingale, interpolation,
noncommutative symmetric spaces
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