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

Henri Martikainen

doi:10.4171/rmi/699

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

Henri Martikainen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	961-998
Number of pages	38
Journal	Revista Matematica Iberoamericana
Volume	28
Issue number	4
DOIs	https://doi.org/10.4171/rmi/699
State	Published - 2012

Keywords

Calderón-Zygmund operator
Martingale difference
Non-doubling measure
Paraproduct
Probabilistic constructions in metric spaces

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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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KW - Calderón-Zygmund operator

KW - Martingale difference

KW - Non-doubling measure

KW - Paraproduct

KW - Probabilistic constructions in metric spaces

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ER -

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

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Keywords

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