Maximal Operator for the Higher Order Calderón Commutator

Xudong Lai

doi:10.4153/S0008414X19000476

Maximal Operator for the Higher Order Calderón Commutator

Xudong Lai^*

^*Corresponding author for this work

School of Mathematics

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

3 Scopus citations

Abstract

In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calderón commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the space, including some peculiar endpoint estimates of the higher dimensional Calderón commutator.

Original language	English
Pages (from-to)	1386-1422
Number of pages	37
Journal	Canadian Journal of Mathematics
Volume	72
Issue number	5
DOIs	https://doi.org/10.4153/S0008414X19000476
State	Published - 1 Oct 2020

Keywords

Calderón commutator
Multilinear
maximal operator
weighted space

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10.4153/S0008414X19000476

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title = "Maximal Operator for the Higher Order Calder{\'o}n Commutator",

abstract = "In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calder{\'o}n commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the space, including some peculiar endpoint estimates of the higher dimensional Calder{\'o}n commutator.",

keywords = "Calder{\'o}n commutator, Multilinear, maximal operator, weighted space",

author = "Xudong Lai",

note = "Publisher Copyright: {\textcopyright} Canadian Mathematical Society 2019.",

year = "2020",

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day = "1",

doi = "10.4153/S0008414X19000476",

language = "英语",

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N1 - Publisher Copyright: © Canadian Mathematical Society 2019.

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N2 - In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calderón commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the space, including some peculiar endpoint estimates of the higher dimensional Calderón commutator.

AB - In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calderón commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the space, including some peculiar endpoint estimates of the higher dimensional Calderón commutator.

KW - Calderón commutator

KW - Multilinear

KW - maximal operator

KW - weighted space

UR - https://www.scopus.com/pages/publications/85091451802

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DO - 10.4153/S0008414X19000476

M3 - 文章

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SP - 1386

EP - 1422

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

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ER -

Maximal Operator for the Higher Order Calderón Commutator

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Keywords

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