中文

关于具有反对称核的非整数维Calderón-Zygmund算子的有界性

经典分析与常微分方程 2016-04-08 v1

摘要

我们刻画了非原子测度μ\mu,使得所有具有固定非整数维ss的反对称核的Calderón-Zygmund算子在L2(μ)L^2(\mu)中有界,刻画通过一个正量即Wolff能量给出。

关键词

引用

@article{arxiv.1604.02014,
  title  = {On the boundedness of non-integer dimension Calder\'on-Zygmund Operators with antisymmetric kernels},
  author = {Benjamin Jaye and Fedor Nazarov},
  journal= {arXiv preprint arXiv:1604.02014},
  year   = {2016}
}

备注

20 pages. We have (rather deliberately) imported several definitions from the previous submission arXiv:1602.02821 with minimal changes so that the reader can compare similarities in the methods