Oscillation and variation for the Gaussian Riesz transforms and Poisson integral

For the family of truncations of the Gaussian Riesz transforms and Poisson integral we study their rate of convergence through the oscillation and variation operators. More precisely, we search for their Lp (dγ)-boundedness properties, where dγ denotes the Gauss measure. We achieve our results by lo...

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Detalles Bibliográficos
Autores: Harboure, Eleonor Ofelia, Macias, Roberto Aristobulo, Menárguez, M.T., Torrea Hernández, José Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/84290
Acceso en línea:http://hdl.handle.net/11336/84290
Access Level:acceso abierto
Palabra clave:Ornstein-Uhlenbeck semigroup
singular integrals
vector valued operators
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:For the family of truncations of the Gaussian Riesz transforms and Poisson integral we study their rate of convergence through the oscillation and variation operators. More precisely, we search for their Lp (dγ)-boundedness properties, where dγ denotes the Gauss measure. We achieve our results by looking at the oscillation and variation operators from a vector-valued point of view.