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摘要
This note presents a proof that the non-tangential maximal function of the Ornstein-Uhlenbeck semi-group is bounded pointwise by the Gaussian Hardy-Littlewood maximal function. In particular this entails an extension on a result by Pineda and Urbina [1] who proved a similar result for a 'truncated' version with fixed parameters of the non-tangential maximal function. We actually obtain boundedness of the maximal function on non-tangential cones of arbitrary aperture.
- 出版日期2015-1
