Muckenhoupt Matrix Weights

Morten Nielsen; Hrvoje Šikić

doi:10.1007/s12220-020-00440-z

Muckenhoupt Matrix Weights

Morten Nielsen^*, Hrvoje Šikić

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

We study matrix weights defined on the multivariate torus Td. Sufficient conditions for a matrix weight to be in the Muckenhoupt A2-class are studied, and two such sufficiency results obtained by S. Bloom for d= 1 are generalized to the multivariate setting. As an application, an A2-decomposition property is introduced for matrix weights and a BMO distance theorem for matrix weights is considered.

Original language	English
Journal	Journal of Geometric Analysis
Volume	31
Pages (from-to)	8850-8865
ISSN	1050-6926
DOIs	https://doi.org/10.1007/s12220-020-00440-z
Publication status	Published - 2021

Keywords

BMO
Commutator
Garnett–Jones distance theorem
Matrix weight
Muckenhoupt condition
Weighted BMO

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10.1007/s12220-020-00440-z

JGEA_D_19_00435Accepted author manuscript, 947 KBLicence: CC BY 4.0

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title = "Muckenhoupt Matrix Weights",

abstract = "We study matrix weights defined on the multivariate torus Td. Sufficient conditions for a matrix weight to be in the Muckenhoupt A2-class are studied, and two such sufficiency results obtained by S. Bloom for d= 1 are generalized to the multivariate setting. As an application, an A2-decomposition property is introduced for matrix weights and a BMO distance theorem for matrix weights is considered.",

keywords = "BMO, Commutator, Garnett–Jones distance theorem, Matrix weight, Muckenhoupt condition, Weighted BMO",

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doi = "10.1007/s12220-020-00440-z",

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AU - Nielsen, Morten

AU - Šikić, Hrvoje

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AB - We study matrix weights defined on the multivariate torus Td. Sufficient conditions for a matrix weight to be in the Muckenhoupt A2-class are studied, and two such sufficiency results obtained by S. Bloom for d= 1 are generalized to the multivariate setting. As an application, an A2-decomposition property is introduced for matrix weights and a BMO distance theorem for matrix weights is considered.

KW - BMO

KW - Commutator

KW - Garnett–Jones distance theorem

KW - Matrix weight

KW - Muckenhoupt condition

KW - Weighted BMO

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U2 - 10.1007/s12220-020-00440-z

DO - 10.1007/s12220-020-00440-z

M3 - Journal article

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SN - 1050-6926

VL - 31

SP - 8850

EP - 8865

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

ER -

Muckenhoupt Matrix Weights

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Keywords

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