Weak-type interpolation for noncommutative maximal operators
Operator Algebras
2013-09-16 v2 Functional Analysis
Probability
Abstract
We prove a Boyd-type interpolation result for noncommutative maximal operators of restricted weak type. Our result positively answers an open question posed recently by Bekjan, Chen and Osekowski. As a special case, we find a restricted weak type version of the noncommutative Marcinkiewicz interpolation theorem, due to Junge and Xu, with interpolation constant of optimal order.
Keywords
Cite
@article{arxiv.1212.5168,
title = {Weak-type interpolation for noncommutative maximal operators},
author = {Sjoerd Dirksen},
journal= {arXiv preprint arXiv:1212.5168},
year = {2013}
}
Comments
Typographical changes, introduction rewritten. Mathematical content unchanged. Submitted for publication