scientific article

zbMath1286.46037MaRDI QIDQ2865610

Juha Kinnunen, Pilar Silvestre

Publication date: 2 December 2013

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Poincaré inequalitymetric measure spaceHardy-Littlewood maximal functionSobolev type inequalitiesHausdorff content of codimension oneresistance condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other generalizations (nonlinear potential theory, etc.) (31C45) Analysis on metric spaces (30L99)

Related Items (1)

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

Cites Work

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• The BV-capacity in metric spaces
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• Harnack inequalities and sub-Gaussian estimates for random walks
• Capacitary function spaces
• Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
• Conductor inequalities and criteria for Sobolev type two-weight imbeddings
• Stability of parabolic Harnack inequalities on metric measure spaces
• Conductor Sobolev type estimates and isocapacitary inequalities
• Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities
• Choquet Integrals, Hausdorff Content and the Hardy-Littlewood Maximal Operator
• Lebesgue points and capacities via boxing inequality in metric spaces

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