中文

二进平方函数的锐矩阵加权强型不等式

经典分析与常微分方程 2019-05-09 v2

摘要

本文改进了 T. Hytonen、S. Petermichl 和 A. Volberg 近期关于积分 p=2p = 2 矩阵加权二进平方函数的稀疏控制,证明了一般矩阵加权二进平方函数的逐点稀疏控制。我们随后利用这一点证明了当 1<p21 < p \leq 2 时矩阵加权二进平方函数的锐双矩阵加权强型不等式。

关键词

引用

@article{arxiv.1901.10150,
  title  = {Sharp matrix weighted strong type inequalities for the dyadic square function},
  author = {Joshua Isralowitz},
  journal= {arXiv preprint arXiv:1901.10150},
  year   = {2019}
}

备注

11 pages, no figures, submitted, the proofs of the sharp weak type estimates in Theorems 1.2 and 1.3 in the first version had an error that we could not fix, and therefore are omitted in this version (and remain open). The title and abstract has been changed to reflect this