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pro vyhledávání: '"Mauceri G"'
In this note we prove various sharp boundedness results on suitable Hardy type spaces for Riesz transforms of arbitrary order on noncompact symmetric spaces of arbitrary rank.
Comment: v2: the first version has been revised and splitted up in tw
Comment: v2: the first version has been revised and splitted up in tw
Externí odkaz:
http://arxiv.org/abs/1507.04855
Autor:
Mauceri, G., Spinelli, M.
On $\mathbb{R}^d_+$, endowed with the Laguerre probability measure $\mu_\alpha$, we define a Hodge-Laguerre operator $\mathbb{L}_\alpha=\delta\delta^*+\delta^* \delta$ acting on differential forms. Here $\delta$ is the Laguerre exterior differentiati
Externí odkaz:
http://arxiv.org/abs/1407.2838
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the imaginary powers of the Laplacian and the Riesz transform are bounded from the Hardy space X^1(M), introduced in
Externí odkaz:
http://arxiv.org/abs/1305.7109
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We realize the dual space Y^h(M) of the Hardy-type space X^h(M), introduced in a previous paper of the authors, as the class of al
Externí odkaz:
http://arxiv.org/abs/1305.1127
In dimension one we give a maximal function characterisation of the Hardy space H^1(g) for the Gauss measure g, introduced by G. Mauceri and S. Meda. In arbitrary dimension, we give a description of the nonnegative functions in H^1(g) and use it to p
Externí odkaz:
http://arxiv.org/abs/1006.5551
In the setting of Euclidean space with the Gaussian measure g, we consider all first-order Riesz transforms associated to the infinitesimal generator of the Ornstein-Uhlenbeck semigroup. These operators are known to be bounded on L^p(g), for 1
Externí odkaz:
http://arxiv.org/abs/1002.1240
In this paper we consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the Hardy type spaces X^k(M), introduced in a previous paper of the authors, have an atomic characterization. As an
Externí odkaz:
http://arxiv.org/abs/1002.1161
Autor:
Mauceri, G., Meda, S.
Let M be a space of homogeneous type and denote by F^\infty_{cont}(M) the space of finite linear combinations of continuous (1,\infty)-atoms. In this note we give a simple function theoretic proof of the equivalence on F^\infty_{cont}(M) of the H^1-n
Externí odkaz:
http://arxiv.org/abs/0910.5313
Denote by g the Gauss measure on R^n and by L the Ornstein-Uhlenbeck operator. In this paper we introduce a local Hardy space h^1(g) of Goldberg type and we compare it with the Hardy space H^1(g) introduced in a previous paper by Mauceri and Meda. We
Externí odkaz:
http://arxiv.org/abs/0906.3785
Autor:
Mauceri, G., Noselli, L.
Let (H_t) be the Ornstein-Uhlenbeck semigroup on R^d with covariance matrix I and drift matrix \lambda(R-I), where \lambda>0 and R is a skew-adjoint matrix and denote by \gamma_\infty the invariant measure for (H_t). Semigroups of this form are the b
Externí odkaz:
http://arxiv.org/abs/0901.1455