The maximal operator associated to a non-symmetric Ornstein-Uhlenbeck semigroup
| dc.creator | Mauceri, G. | |
| dc.creator | Noselli, L. | |
| dc.date | 2009-01-11 | |
| dc.date.accessioned | 2026-07-07T12:28:21Z | |
| dc.date.available | 2026-07-07T12:28:21Z | |
| dc.description | Let (H_t) be the Ornstein-Uhlenbeck semigroup on R^d with covariance matrix I and drift matrix λ(R-I), where λ>0 and R is a skew-adjoint matrix and denote by γ_\infty the invariant measure for (H_t). Semigroups of this form are the basic building blocks of Ornstein-Uhlenbeck semigroups which are normal on L^2(γ_\infty). We prove that if the matrix R generates a one-parameter group of periodic rotations then the maximal operator associated to the semigroup is of weak type 1 with respect to the invariant measure. We also prove that the maximal operator associated to an arbitrary normal Ornstein-Uhlenbeck semigroup is bounded on L^p(γ_\infty) if and only if 1<p\le \infty. | |
| dc.description | 20 pages, to appear in J Fourier Anal Appl, available on line at http://www.springerlink.com | |
| dc.identifier | https://arxiv.org/abs/0901.1455 | |
| dc.identifier | http://arxiv.org/abs/0901.1455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215508 | |
| dc.subject | Functional Analysis | |
| dc.subject | 42B25, 47D03 | |
| dc.title | The maximal operator associated to a non-symmetric Ornstein-Uhlenbeck semigroup | |
| dc.type | text |