On the extension of Muckenhoupt weights in metric spaces

Emma Karoliina Kurki, Carlos Mudarra*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
16 Downloads (Pure)

Abstract

A theorem by Wolff states that weights defined on a measurable subset of Rn and satisfying a Muckenhoupt-type condition can be extended into the whole space as Muckenhoupt weights of the same class. We give a complete and self-contained proof of this theorem generalized into metric measure spaces supporting a doubling measure. Related to the extension problem, we also show estimates for Muckenhoupt weights on Whitney chains in the metric setting.

Original languageEnglish
Article number112671
JournalNonlinear Analysis, Theory, Methods and Applications
Volume215
DOIs
Publication statusPublished - Feb 2022
MoE publication typeA1 Journal article-refereed

Keywords

  • Doubling condition
  • Metric measure space
  • Muckenhoupt weight

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