中文

滤波测度空间中正算子有界性的刻画

经典分析与常微分方程 2012-10-16 v1 概率论

摘要

基于 Sawyer 型检验条件,建立了一个完整的刻画,确定了滤波测度空间中的正算子何时从 Lp(dμ)L^p(d\mu) 有界映射到 Lq(dμ)L^q(d\mu),其中 1<pq<1<p\le q<\infty

关键词

引用

@article{arxiv.1210.3924,
  title  = {A characterization for the boundedness of positive operators in a filtered measure space},
  author = {Hitosh Tanaka and Yutaka Terasawa},
  journal= {arXiv preprint arXiv:1210.3924},
  year   = {2012}
}