Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions

We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained. © 2004 Elsevier B.V. All rights reserved.

Detalles Bibliográficos
Autores: Ciaurri, O. [0000-0002-1695-3311], Varona, J.L. [0000-0002-2023-9946]
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2005
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69c6b750603269e82140
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc69c6b750603269e82140
Access Level:acceso abierto
Palabra clave:Cesàro means
Generalized Hermite expansions
Generalized Hermite polynomials
Hermite expansions
Hermite polynomials
Nørlund means
Two-weight norm inequalities
Weighted norm inequalities
Descripción
Sumario:We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained. © 2004 Elsevier B.V. All rights reserved.