Muckenhoupt Matrix Weights

Morten Nielsen*, Hrvoje Šikić

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-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 languageEnglish
JournalJournal of Geometric Analysis
Volume31
Pages (from-to)8850-8865
ISSN1050-6926
DOIs
Publication statusPublished - 2021

Keywords

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

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