On isoperimetric profiles of product spaces
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Publication:2386765
DOI10.4310/CAG.2003.v11.n1.a5zbMath1085.53027MaRDI QIDQ2386765
Alexander Grigor'yan, Daniel Levin, Thierry Coulhon
Publication date: 25 August 2005
Published in: Communications in Analysis and Geometry (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global Riemannian geometry, including pinching (53C20) Inequalities involving derivatives and differential and integral operators (26D10)
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Log-Sobolev inequalities for semi-direct product operators and applications ⋮ Sobolev embeddings into Orlicz spaces and isocapacitary inequalities ⋮ Spectral properties of a class of random walks on locally finite groups ⋮ Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds ⋮ Slow mappings of finite distortion ⋮ Isoperimetry of group actions. ⋮ Spectral density and Sobolev inequalities for pure and mixed states ⋮ New estimates for the bottom of the spectrum of Schrödinger operators ⋮ Isoperimetric estimates in products ⋮ On some new spectral estimates for Schrödinger-like operators ⋮ The total variation flow in metric random walk spaces ⋮ On \(F\)-Sobolev and Orlicz-Sobolev inequalities ⋮ Uniform boundedness and long-time asymptotics for the two-dimensional Navier-Stokes equations in an infinite cylinder
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