Degenerate Hypoelliptic Operators and the Gaussian Kernel
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Some Remarks on Degenerate Hypoelliptic Ornstein-uhlenbeck Operators
We study degenerate hypoelliptic Ornstein-Uhlenbeck operators in L spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein-Uhlenbeck operators. We first show that some known results about the spectral and subelliptic properties of Ornstein-Uhlenbeck operators may be...
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