A pointwise estimate for positive dyadic shifts and some applications

José M. Conde-Alonso; Guillermo Rey

doi:10.1007/s00208-015-1320-y

A pointwise estimate for positive dyadic shifts and some applications

José M. Conde-Alonso
, Guillermo Rey

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

89 Scopus citations

Abstract

We prove a (sharp) pointwise estimate for positive dyadic shifts of complexity m which is linear in the complexity. This can be used to give a pointwise estimate for Calderón-Zygmund operators and to answer a question originally posed by Lerner. Several applications to weighted estimates for both multilinear Calderón-Zygmund operators and square functions are discussed.

Original language	English (US)
Pages (from-to)	1111-1135
Number of pages	25
Journal	Mathematische Annalen
Volume	365
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-015-1320-y
State	Published - Aug 1 2016
Externally published	Yes

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© 2015, Springer-Verlag Berlin Heidelberg.

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AB - We prove a (sharp) pointwise estimate for positive dyadic shifts of complexity m which is linear in the complexity. This can be used to give a pointwise estimate for Calderón-Zygmund operators and to answer a question originally posed by Lerner. Several applications to weighted estimates for both multilinear Calderón-Zygmund operators and square functions are discussed.

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A pointwise estimate for positive dyadic shifts and some applications

Abstract

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