Maximal operators of tree martingale transforms and their maximal operator inequalities

He, Tong-jun; Shen, Yi

doi:10.1090/S0002-9947-08-04502-9

Maximal operators of tree martingale transforms and their maximal operator inequalities
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Trans. Amer. Math. Soc. 360 (2008), 6595-6609 Request permission

Abstract:

In this paper we define maximal operators for tree martingale transforms in ${UMD}$ spaces and prove inequalities for them by using the ${UMD}$ property.

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