Maximal Function Estimates and Self-improvement Results for Poincaré Inequalities

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

Research output: Contribution to journalArticle

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
Number of pages21
JournalarXiv.org
Publication statusPublished - 2017
MoE publication typeNot Eligible

Keywords

  • Analysis on metric spaces
  • Sobolev spaces
  • Poincaré inequality
  • geodesic space

Fingerprint Dive into the research topics of 'Maximal Function Estimates and Self-improvement Results for Poincaré Inequalities'. Together they form a unique fingerprint.

Cite this