Commutators, paraproducts and bmo in non-homogeneous martingale settings

Sergei Treil

Journal ArticleOPEN ACCESS

Commutators, paraproducts and bmo in non-homogeneous martingale settings

Treil S

Revista Matematica Iberoamericana (2013) 29(4) 1325-1372

DOI: 10.4171/RMI/759

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Abstract

In this paper we investigate the relations between (martingale) BMO spaces, paraproducts and commutators in non-homogeneous martingale settings. Some new, and one might add unexpected, results are obtained. Some alternative proof of known results are also presented. © European Mathematical Society.

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Treil, S. (2013). Commutators, paraproducts and bmo in non-homogeneous martingale settings. Revista Matematica Iberoamericana, 29(4), 1325–1372. https://doi.org/10.4171/RMI/759

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Commutators, paraproducts and bmo in non-homogeneous martingale settings

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A discrete transform and decompositions of distribution spaces

The Tb-theorem on non-homogeneous spaces

BMO, H<sup>1</sup>, and Calderón-Zygmund operators for non doubling measures

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