Journal of Operator Theory
Volume 73, Issue 2, Spring 2015 pp. 515-532.
Weak-type interpolation for noncommutative maximal operators
Authors:
Sjoerd Dirksen
Author institution:Universitaet Bonn,
Hausdorff Center for Mathematics,
Endenicher Allee 60,
53115 Bonn,
Germany
Summary: We prove a Boyd-type interpolation result for noncommutative maximal operators of restricted weak type. Our result positively answers an open question in T. Bekjan, Z. Chen, A. Os{\c{e}}kowski, arXiv: 1108.2795 [math.OA].
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.
DOI: http://dx.doi.org/10.7900/jot.2014mar12.2022
Keywords: noncommutative symmetric spaces, Doob's maximal inequality, noncommutative maximal inequalities, interpolation theory
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