Abstract
We establish a special representation of uniformly bounded martingale differences and give some examples of its application. In particular, we prove that any uniformly bounded ONS $\left\{ f_{k}\right\}$ contains a subsystem $\left\{ f_{k_{n}}\right\} $ ($k_{n}\leq 2^{n}$) of\ \ unconditional convergence with exponential estimation of majorants.
Citation
Alexander Krantsberg. "A Representation of Martingale Differences and Orthogonormal Systems of Unconditional Convergence Almost Everywhere." Real Anal. Exchange 26 (1) 311 - 324, 2000/2001.
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