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arXiv · 0910.4846

A Concrete Estimate For The Weak Poincare Inequality On Loop Space

Xin Chen·Xue-Mei Li·Bo Wu
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Abstract

The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected compact Riemannian manifold together with the Hilbert space structure induced by Mallianvin calculus and the induced Ornstein- Uhlenbeck operator. We give a concrete estimate for the weak Poincare inequality for the O-U Dirichlet form on loop space over simply connected compact Riemannian manifold with strict positive Ricci curvature.

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Xin Chen, Xue-Mei Li, Bo Wu. 2009-10-26. A Concrete Estimate For The Weak Poincare Inequality On Loop Space. https://doi.org/10.1007/s00440-010-0308-5

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