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2020 Two-weight commutator estimates: general multi-parameter framework
Emil Airta
Publ. Mat. 64(2): 681-729 (2020). DOI: 10.5565/PUBLMAT6422013

Abstract

We provide an explicit technical framework for proving very general two-weight commutator estimates in arbitrary parameters. The aim is to both clarify existing literature, which often explicitly focuses on two parameters only, and to extend very recent results to the full generality of arbitrary parameters. More specifically, we study two-weight commutator estimates – Bloom type estimates – in the multi-parameter setting involving weighted product $\operatorname{BMO}$ and little $\operatorname{BMO}$ spaces, and their combinations.

Citation

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Emil Airta. "Two-weight commutator estimates: general multi-parameter framework." Publ. Mat. 64 (2) 681 - 729, 2020. https://doi.org/10.5565/PUBLMAT6422013

Information

Received: 26 June 2019; Revised: 19 December 2019; Published: 2020
First available in Project Euclid: 3 July 2020

zbMATH: 07236059
MathSciNet: MR4119955
Digital Object Identifier: 10.5565/PUBLMAT6422013

Subjects:
Primary: 42B20

Keywords: Bloom's inequality , iterated commutators, , little $\operatorname{BMO}$ , multi-parameter singular integrals , product $\operatorname{BMO}$ , weighted $\operatorname{BMO}$

Rights: Copyright © 2020 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.64 • No. 2 • 2020
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