Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds

Joe J. Perez; Peter Stollmann

arxiv: 1009.4900 · v1 · pith:LPC2CN5Enew · submitted 2010-09-24 · 🧮 math.SP · math.AP· math.CV

Heat kernel estimates for the barpartial-Neumann problem on G-manifolds

Joe J. Perez , Peter Stollmann This is my paper

classification 🧮 math.SP math.APmath.CV

keywords estimatesheatkernelmanifoldsneumannpartialactingassociated

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We prove heat kernel estimates for the $\bar\partial$-Neumann Laplacian acting in spaces of differential forms over noncompact, strongly pseudoconvex complex manifolds with a Lie group symmetry and compact quotient. We also relate our results to those for an associated Laplace-Beltrami operator on functions.

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Heat kernel estimates for the barpartial-Neumann problem on G-manifolds

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