Non-local Gehring Lemmas in Spaces of Homogeneous Type and Applications

Pascal Auscher, Simon Bortz, Moritz Egert, Olli Saari*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

We prove a self-improving property for reverse Hölder inequalities with non-local right-hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic partial differential equations. We present applications to non-local extensions of A weights and fractional elliptic divergence form equations. We write our results in spaces of homogeneous type.

Original languageEnglish
JournalJOURNAL OF GEOMETRIC ANALYSIS
DOIs
Publication statusE-pub ahead of print - 1 Jan 2019
MoE publication typeA1 Journal article-refereed

Keywords

  • (non-local) Reverse Hölder inequalities
  • (very weak) A weights
  • C weights
  • Fractional elliptic equations
  • Gehring’s lemma
  • Self-improvement properties
  • Spaces of homogeneous type

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