Alternative proof of Keith–Zhong self-improvement and connectivity

DOI10.5186/aasfm.2019.4424zbMath1416.30018arXiv1610.02129OpenAlexW2963337958WikidataQ122277774 ScholiaQ122277774MaRDI QIDQ4632064

Sylvester Eriksson-Bique

Publication date: 25 April 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02129

zbMATH Keywords

metric spacesPoincaré inequalityself-improvementMuckenhoupt-weightsPI-spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Systems of functional equations and inequalities (39B72) Analysis on metric spaces (30L99)

Related Items (4)

A simple proof of reflexivity and separability of N^{1,p} Sobolev spaces ⋮ A maximal function approach to two-measure Poincaré inequalities ⋮ Self-improvement of pointwise Hardy inequality ⋮ Self-improvement of weighted pointwise inequalities on open sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear potential theory on metric spaces
• Quasiconformal maps in metric spaces with controlled geometry
• Differentiability of Lipschitz functions on metric measure spaces
• Modulus and the Poincaré inequality on metric measure spaces
• Characterizing spaces satisfying Poincaré inequalities and applications to differentiability
• Maximal function estimates and self-improvement results for Poincaré inequalities
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• The Poincaré inequality is an open ended condition
• Sobolev Spaces on Metric Measure Spaces
• A new characterization of the Muckenhoupt $A_p$ weights through an extension of the Lorentz-Shimogaki Theorem
• Admissible measures in one dimension

This page was built for publication: Alternative proof of Keith–Zhong self-improvement and connectivity