Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator
Bruno, Tommaso
Original · EN
In this paper we introduce a new atomic Hardy space X¹(γ) adapted to the Gauss measure γ, and prove the boundedness of the first order Riesz transform associated with the Ornstein-Uhlenbeck operator from X¹(γ) to L¹(γ). We also provide a new, short and almost self-contained proof of its weak-type (1,1).
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