Noncommutative weak Orlicz spaces and martingale inequalities
STUDIA MATHEMATICA(2011)
摘要
This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. The Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. As an application, we prove the weak type Phi-moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type Phi-moment noncommutative Khinchin inequality for Rademacher random variables.
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关键词
von Neumann algebra,noncommutative L-p space,noncommutative weak Orlicz space,noncommutative martingale,weak type Phi-moment inequality
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