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• W2593177522 abstract "Building on the author's recent work with Jan Maas and Jan van Neerven, this paper establishes the equivalence of two norms (one using a maximal function, the other a square function) used to define a Hardy space on $R^{n}$ with the gaussian measure, that is adapted to the Ornstein-Uhlenbeck semigroup. In contrast to the atomic Gaussian Hardy space introduced earlier by Mauceri and Meda, the $h^{1}(R^{n};dgamma)$ space studied here is such that the Riesz transforms are bounded from $h^{1}(R^{n};dgamma)$ to $L^{1}(R^{n};dgamma)$. This gives a gaussian analogue of the seminal work of Fefferman and Stein in the case of the Lebesgue measure and the usual Laplacian." @default.
• W2593177522 created "2017-03-16" @default.
• W2593177522 creator A5010622741 @default.
• W2593177522 date "2012-03-09" @default.
• W2593177522 modified "2023-09-27" @default.
• W2593177522 title "Maximal and quadratic Gaussian Hardy spaces" @default.
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