Estimates for Derivatives of the Green Functions on Homogeneous Manifolds of Negative Curvature
نویسنده
چکیده
We consider the Green functions G for second-order coercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group N and A = R+. Estimates for derivatives of the Green functions G with respect to the N and A-variables are obtained. This paper completes a previous work of the author (see [12, 13]) where estimates for derivatives of the Green functions for the noncoercive operators has been obtained. Here we show how to use the previous methods and results from [12] in order to get analogous estimates for coercive operators.
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تاریخ انتشار 2004