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arXiv · 1412.4937

Operator-valued dyadic harmonic analysis beyond doubling measures

José M. Conde-Alonso·Luis Daniel López-Sánchez
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Abstract

We obtain a complete characterization of the weak-type $(1,1)$ for Haar shift operators in terms of generalized Haar systems adapted to a Borel measure $\mu$ in the operator-valued setting. The main technical tool in our method is a noncommutative Calder\'on-Zygmund decomposition valid for arbitrary Borel measures.

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José M. Conde-Alonso, Luis Daniel López-Sánchez. 2014-12-16. Operator-valued dyadic harmonic analysis beyond doubling measures. https://arxiv.org/abs/1412.4937

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