On the variation operator for the Ornstein-Uhlenbeck semigroup in dimension one

Valentina Casarino,Paolo Ciatti,Peter Sjögren

arxiv（2023）

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摘要

Consider the variation seminorm of the Ornstein-Uhlenbeck semigroup H_t in dimension one, taken with respect to t. We show that this seminorm defines an operator of weak type (1,1) for the relevant Gaussian measure. The analogous L^p estimates for 1更多

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