Muckenhoupt Matrix Weights

Morten Nielsen; Hrvoje Šikić

doi:10.1007/s12220-020-00440-z

Muckenhoupt Matrix Weights

Morten Nielsen^*, Hrvoje Šikić

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › 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.

Originalsprog	Engelsk
Tidsskrift	Journal of Geometric Analysis
Vol/bind	31
Sider (fra-til)	8850-8865
ISSN	1050-6926
DOI	https://doi.org/10.1007/s12220-020-00440-z
Status	Udgivet - 2021

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© 2020, Mathematica Josephina, Inc.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

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10.1007/s12220-020-00440-z

JGEA_D_19_00435Accepteret manuskript, 947 KBLicens: CC BY 4.0

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KW - BMO

KW - Commutator

KW - Garnett–Jones distance theorem

KW - Matrix weight

KW - Muckenhoupt condition

KW - Weighted BMO

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Muckenhoupt Matrix Weights

Abstract

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