具有一般单调傅里叶系数函数的二维 Hardy-Littlewood 定理
经典分析与常微分方程
2023-10-06 v3
摘要
我们证明了二维的 Hardy-Littlewood 定理，适用于傅里叶系数满足一般单调性条件且重要的是不一定为正的函数。结果的尖锐性由一个反例给出，该反例表明若略微扩充所考虑的系数类，Hardy-Littlewood 关系便不成立。
引用
@article{arxiv.2208.14405,
title = {Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients},
author = {Kristina Oganesyan},
journal= {arXiv preprint arXiv:2208.14405},
year = {2023}
}
备注
21 pages, 1 figure. The proof of Theorem 2 was corrected