We prove that $\operatorname{log} n$ is an almost everywhere convergence Weyl multiplier for the orthonormal systems of non-overlapping Haar polynomials. Moreover, it is done for the general systems of martingale difference polynomials.

中文翻译：

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关于非重叠Haar多项式的系统

我们证明$ \ operatorname {log} n $是非重叠Haar多项式的正交系统的几乎处处收敛的Weyl乘数。而且，它是针对mar差分多项式的一般系统完成的。