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

Joe J. Perez; Peter Stollmann

doi:10.1007/s00229-011-0496-z

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arXiv · 1009.4900

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

Joe J. Perez·Peter Stollmann

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Abstract

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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BibTeX RIS

Joe J. Perez, Peter Stollmann. 2010-09-24. Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds. https://doi.org/10.1007/s00229-011-0496-z

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