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Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 14 Oct 2012Embargo end date: 01 Jan 2010Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 28, pages 961-998 (issn: 0213-2230, eissn: 2235-0616, Copyright policy )
Authors: Martikainen Henri;

doi: 10.4171/rmi/699 , 10.48550/arxiv.1004.3176

arXiv: http://arxiv.org/abs/1004.3176

Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces

Abstract

We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb theorem which is quite general with respect to both of them.

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Keywords

Mathematics - Functional Analysis, FOS: Mathematics, 42B20, 30L99, 46B09, 46E40, 60D05, 60G46, Functional Analysis (math.FA)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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