English

A characterization for the boundedness of positive operators in a filtered measure space

Classical Analysis and ODEs 2012-10-16 v1 Probability

Abstract

In terms of Sawyer type checking condition, a complete characterization is established for which the positive operator in a filtered measure space is bounded from Lp(dμ)L^p(d\mu) to Lq(dμ)L^q(d\mu) with 1<pq<1<p\le q<\infty.

Keywords

Cite

@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}
}