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

81 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

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

Publisher link

10.1007/s00208-015-1320-y

Find It

Find It at U of M Libraries

Cite this

@article{b2d642db20914a51b76563ece9e1cb17,

title = "A pointwise estimate for positive dyadic shifts and some applications",

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 Calder{\'o}n-Zygmund operators and to answer a question originally posed by Lerner. Several applications to weighted estimates for both multilinear Calder{\'o}n-Zygmund operators and square functions are discussed.",

author = "Conde-Alonso, {Jos{\'e} M.} and Guillermo Rey",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = aug,

day = "1",

doi = "10.1007/s00208-015-1320-y",

language = "English (US)",

volume = "365",

pages = "1111--1135",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - A pointwise estimate for positive dyadic shifts and some applications

AU - Conde-Alonso, José M.

AU - Rey, Guillermo

PY - 2016/8/1

Y1 - 2016/8/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84945250083&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84945250083&partnerID=8YFLogxK

U2 - 10.1007/s00208-015-1320-y

DO - 10.1007/s00208-015-1320-y

M3 - Article

AN - SCOPUS:84945250083

SN - 0025-5831

VL - 365

SP - 1111

EP - 1135

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

A pointwise estimate for positive dyadic shifts and some applications

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this