Maximal inequalities for the signed vector summands are established. Probabilistic estimations for the sets of appropriate signs are given. By use of the “transference technique” appropriate maximal inequalities are derived for the permutations. One application for orthogonal and Hadamard matrices is suggested.

中文翻译：

---

极大不等式及其在正交矩阵和 Hadamard 矩阵中的应用

建立有符号向量被加数的最大不等式。给出了适当符号集的概率估计。通过使用“转移技术”，可以为排列导出适当的最大不等式。建议使用正交矩阵和 Hadamard 矩阵的一种应用。