| Presentation Name： | A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel |
|---|---|
| Presenter： | Professor Peter Sjogren |
| Date： | 2014-10-28 |
| Location😳： | 光华东主楼1501 |
| Abstract🙎🏽♂️： | In the n-dimensional Ornstein-Uhlenbeck setting, a Lipschitz space was de ned by Gatto and Urbina, in terms of the gradient of the Ornstein-Uhlenbeck Poisson integral of the function. We show that this space can also be described as a Lipschitz space in the ordinary sense, by means of an inequality for the modulus of continuity. The proof is based on several estimates for the Ornstein-Uhlenbeck Poisson kernel and its gradient, also of independent interest. |
| Annual Speech Directory： | No.156 |
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