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Maximal Inequalities of Noncommutative Martingale Transforms
Published online by Cambridge University Press: 22 November 2019
Abstract
In this paper, we investigate noncommutative symmetric and asymmetric maximal inequalities associated with martingale transforms and fractional integrals. Our proofs depend on some recent advances on algebraic atomic decomposition and the noncommutative Gundy decomposition. We also prove several fractional maximal inequalities.
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- © Canadian Mathematical Society 2019
Footnotes
Yong Jiao is supported by NSFC(11471337, 11722114).
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