Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy's inequalities

DOI10.1515/dema-2016-0006zbMath1354.46035OpenAlexW2318722254MaRDI QIDQ253744

Pilar Silvestre, Juha Kinnunen

Publication date: 8 March 2016

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2016-0006

zbMATH Keywords

capacityHardy inequalitySobolev-Poincaré inequalityanalysis on metric measure spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Cites Work

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• Nonlinear potential theory on metric spaces
• The equivalence between pointwise Hardy inequalities and uniform fatness
• Characterizations of Sobolev inequalities on metric spaces
• Lectures on analysis on metric spaces
• A differentiable structure for metric measure spaces
• Boundary continuity for quasiminimizers on metric spaces
• Harnack inequalities and sub-Gaussian estimates for random walks
• Stability of parabolic Harnack inequalities on metric measure spaces
• Sobolev Spaces

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