Global Morrey estimates for a class of Ornstein-Uhlenbeck operators |
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Authors: | X Feng P Niu |
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Institution: | 1. Shanxi University, Taiyuan, Shanxi, PR China 2. Northwestern Polytechnical University, Xi’an, PR China
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Abstract: | In this paper, we consider a class of hypoelliptic Ornstein-Uhlenbeck operators in ? N given by $\mathcal{A} = \sum\limits_{i,j = 1}^{p_0 } {a_{ij} \partial _{x_i x_j }^2 + } \sum\limits_{i,j = 1}^N {b_{ij} x_i \partial _x } ,$ where (a ij ), (b ij ) are N × N constant matrices, and (a ij ) is symmetric and positive semidefinite. We deduce global Morrey estimates forA from similar estimates of its evolution operator L on a strip domain S = ? N × ?1, 1]. |
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