Maximal function estimates and self-improvement results for Poincaré inequalities

Juha Kinnunen, Juha Lehrbäck, Antti V. Vähäkangas*, Xiao Zhong

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

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.

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

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