On the Gevrey index for some hypoelliptic operators
نویسندگان
چکیده
منابع مشابه
The Index of Hypoelliptic Operators on Foliated Manifolds
In [EE1] and [EE2] we presented the solution to the index problem for a natural class of hypoelliptic differential operators on compact contact manifolds. The methods developed to deal with that problem have wider applicability to the index theory of hypoelliptic Fredholm operators. As an example of the power of the proof techniques we present here a new proof of a little known index theorem of...
متن کاملSome 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...
متن کاملPropagation of Gevrey Regularity for a Class of Hypoelliptic Equations
We prove results on the propagation of Gevrey and analytic wave front sets for a class of C∞ hypoelliptic equations with double characteristics.
متن کاملH∞-calculus for Hypoelliptic Pseudodifferential Operators
We establish the existence of a bounded H∞-calculus for a large class of hypoelliptic pseudodifferential operators on R and closed manifolds.
متن کاملSpectral Properties of Hypoelliptic Operators
We study hypoelliptic operators with polynomially bounded coefficients that are of the form K = ∑m i=1 X i Xi + X0 + f , where the Xj denote first order differential operators, f is a function with at most polynomial growth, and X i denotes the formal adjoint of Xi in L. For any ε > 0 we show that an inequality of the form ‖u‖δ,δ ≤ C(‖u‖0,ε + ‖(K + iy)u‖0,0) holds for suitable δ and C which are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1986
ISSN: 2156-2261
DOI: 10.1215/kjm/1250520874