Littlewood-Paley-Stein gk-functions for Fourier-Bessel expansions

gk-Functions related to the Poisson semigroup of Fourier-Bessel expansions are defined for each k ≥ 1. It is proved that these gk-functions are Calderón-Zygmund operators in the sense of the associated space of homogeneous type, hence their mapping properties follow from the general theory. © 2010 E...

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Detalles Bibliográficos
Autores: Ciaurri, O. [0000-0002-1695-3311], Roncal, L. [0000-0003-0852-3677]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
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/5bbc6913b750603269e814a6
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6913b750603269e814a6
Access Level:acceso abierto
Palabra clave:A<sub>p</sub> weights
Fourier-Bessel expansions
g<sub>k</sub>-Functions
Weighted inequalities
Descripción
Sumario:gk-Functions related to the Poisson semigroup of Fourier-Bessel expansions are defined for each k ≥ 1. It is proved that these gk-functions are Calderón-Zygmund operators in the sense of the associated space of homogeneous type, hence their mapping properties follow from the general theory. © 2010 Elsevier Inc. All rights reserved.