Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups (Q2847038)
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scientific article; zbMATH DE number 6204716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups |
scientific article; zbMATH DE number 6204716 |
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Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups (English)
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4 September 2013
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heat kernel
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sub-Riemannian infinite-dimensional Heisenberg groups
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quasi-invariance
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\(L^p\)-estimates
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Radon--Nikodym derivative
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Based on authors' abstract: The authors show that quasi-invariance results of Cameron--Martin type hold true for the heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups. Moreover, \(L^p\)-estimates for the Radon--Nikodym derivatives are derived. The proofs rely on a generalized curvature-dimension estimate which is valid on approximating finite-dimensional projection groups.
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