\(L^p\)-Poincaré inequality for general symmetric forms

DOI10.1007/S10114-009-8205-5zbMath1194.46050OpenAlexW2104616147MaRDI QIDQ2266849

Yong Hua Mao

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-8205-5

zbMATH Keywords

isoperimetric constantcompact embeddingsymmetric formconcentration\(L^p\) Poincaré inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Estimate the exponential convergence rate of \(f\)-ergodicity via spectral gap ⋮ Weak log-Sobolev and \(L^p\) weak Poincaré inequalities for general symmetric forms ⋮ \(L^2\)-decay rate for non-ergodic Jackson network ⋮ Isoperimetric inequalities for non-local Dirichlet forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Herbst inequalities for supercontractive semigroups
• Logarithmic Sobolev inequalities and exponential integrability
• Logarithmic Sobolev inequality for symmetric forms
• Nash inequalities for Markov processes in dimension one
• Nash inequalities for general symmetric forms
• Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap.
• Functional inequalities for empty essential spectrum
• General Sobolev type inequalities for symmetric forms
• On supercontractivity for Markov semigroups
• Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality
• Sobolev type inequalities for general symmetric forms

This page was built for publication: \(L^p\)-Poincaré inequality for general symmetric forms