Characterizations of weak reverse Hölder inequalities on metric measure spaces

Juha Kinnunen*, Emma Karoliina Kurki, Carlos Mudarra

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We present ten different characterizations of functions satisfying a weak reverse Hölder inequality on an open subset of a metric measure space with a doubling measure. Among others, we describe these functions as a class of weak A weights, which is a generalization of Muckenhoupt weights that allows for nondoubling weights. Although our main results are modeled after conditions that hold true for Muckenhoupt weights, we also discuss two conditions for Muckenhoupt A weights that fail to hold for weak A weights.

Original languageEnglish
JournalMATHEMATISCHE ZEITSCHRIFT
DOIs
Publication statusE-pub ahead of print - 17 Feb 2022
MoE publication typeA1 Journal article-refereed

Keywords

  • Maximal functions
  • Reverse Hölder inequalities
  • Weak Muckenhoupt weights

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