Lower estimates of the heat kernel on conic manifolds and Riesz transform

DOI10.1007/s00013-004-1029-8zbMath1076.58017OpenAlexW2044422250MaRDI QIDQ1884694

Thierry Coulhon, Hong-Quan Li

Publication date: 5 November 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-004-1029-8

zbMATH Keywords

heat kernelRiesz transformsconical manifolds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (14)

Bernstein inequalities via the heat semigroup ⋮ Gaussian heat kernel bounds through elliptic Moser iteration ⋮ Unnamed Item ⋮ Heat kernel estimate in a conical singular space ⋮ Riesz transform via heat kernel and harmonic functions on non-compact manifolds ⋮ Boundedness from \(H^1\) to \(L^1\) of Riesz transforms on a Lie group of exponential growth ⋮ Weighted norm inequalities, off-diagonal estimates and elliptic operators. IV: Riesz transforms on manifolds and weights ⋮ Riesz transform on manifolds and heat kernel regularity ⋮ \(L^p\) self-improvement of generalized Poincaré inequalities in spaces of homogeneous type ⋮ Gradient estimates for the heat semigroup on \(\mathbb H\)-type groups ⋮ Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends ⋮ Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg ⋮ Spectrum of the Laplacian and Riesz transform on locally symmetric spaces ⋮ Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

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