From \(U\)-bounds to isoperimetry with applications to H-type groups
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Publication:610748
DOI10.1016/j.jfa.2010.08.003zbMath1210.26017arXiv0912.0236OpenAlexW2963032474WikidataQ125911047 ScholiaQ125911047MaRDI QIDQ610748
Bogusław Zegarliński, Vasilis Kontis, James D. Inglis
Publication date: 10 December 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.0236
isoperimetric inequalitieslogarithmic Sobolev inequalitiesH-type groupsinfinite dimensional applications
Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Analysis on metric spaces (30L99)
Related Items (12)
Markov semigroups with hypocoercive-type generator in infinite dimensions: ergodicity and smoothing ⋮ Linear and nonlinear dissipative dynamics ⋮ The log-Sobolev inequality with quadratic interactions ⋮ Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach ⋮ Coercive inequalities and U-bounds on step-two Carnot groups ⋮ \(q\)-Poincaré inequalities on Carnot groups with filiform type Lie algebra ⋮ On complex H-type Lie algebras ⋮ Coercive inequalities in higher-dimensional anisotropic Heisenberg group ⋮ Analysis on extended Heisenberg group ⋮ Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions ⋮ Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality ⋮ An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice
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