Maximal function estimates and self-improvement results for Poincaré inequalities

Research output: Contribution to journalArticleScientificpeer-review

Researchers

Research units

  • University of Helsinki
  • University of Jyväskylä

Abstract

Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure independent representation for Sobolev norms and universality results for Sobolev spaces.

Details

Original languageEnglish
Pages (from-to)119-147
Number of pages29
JournalManuscripta Mathematica
Volume158
Issue number1-2
Publication statusPublished - 7 Jan 2019
MoE publication typeA1 Journal article-refereed

ID: 31554598