Operator-valued dyadic harmonic analysis beyond doubling measures
Classical Analysis and ODEs
2014-12-17 v1 Functional Analysis
Operator Algebras
Abstract
We obtain a complete characterization of the weak-type for Haar shift operators in terms of generalized Haar systems adapted to a Borel measure in the operator-valued setting. The main technical tool in our method is a noncommutative Calder\'on-Zygmund decomposition valid for arbitrary Borel measures.
Cite
@article{arxiv.1412.4937,
title = {Operator-valued dyadic harmonic analysis beyond doubling measures},
author = {José M. Conde-Alonso and Luis Daniel López-Sánchez},
journal= {arXiv preprint arXiv:1412.4937},
year = {2014}
}