Nash and log-Sobolev inequalities for hypoelliptic operators

DOI10.1007/s00229-008-0235-2zbMath1165.58016OpenAlexW2161023193MaRDI QIDQ1006883

Feng-Yu Wang

Publication date: 26 March 2009

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

Full work available at URL: https://doi.org/10.1007/s00229-008-0235-2

zbMATH Keywords

log-Sobolev inequalityNash inequalityHörmander conditionhypoelliptic operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (4)

Log-Sobolev inequalities for semi-direct product operators and applications ⋮ Estimates for invariant probability measures of degenerate SPDEs with singular and path-dependent drifts ⋮ Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality ⋮ Super and weak Poincaré inequalities for hypoelliptic operators

Cites Work

• Fundamental solutions for second order subelliptic operators
• Hypoelliptic differential operators and nilpotent groups
• Uniform positivity improving property, Sobolev inequalities, and spectral gaps
• Random walks on graphs with regular volume growth
• Ultracontractivity and Nash type inequalities
• Coercive inequalities for Hörmander type generators in infinite dimensions
• Hypoelliptic second order differential equations
• Nash type inequalities for fractional powers of non-negative self-adjoint operators
• Sobolev inequalities in disguise
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