二维Walsh-Fourier级数的强收敛
经典分析与常微分方程
2014-10-28 v1 泛函分析
摘要
我们证明了二维Walsh-Fourier级数的方形部分和的某种平均是从Hardy空间H_p到L_p的一致有界算子，其中0<p<1。
引用
@article{arxiv.1410.7205,
title = {Strong convergence of two-dimensional Walsh-Fourier series},
author = {George Tephnadze},
journal= {arXiv preprint arXiv:1410.7205},
year = {2014}
}
备注
Walsh system, Strong convergence, martingale Hardy space. arXiv admin note: text overlap with arXiv:1309.7548, arXiv:1310.8212 by other authors