Commutators and analytic dependence of Fourier-Bessel series on (0;1)

In this paper we study the boundedness of the commutators [b, Sn] where b is a BMO function and Sn denotes the n-th partial sum of the Fourier-Bessel series on (0, ∞). Perturbing the measure by exp(2b) we obtain that certain operators related to Sn depend analytically on the functional parameter b....

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Detalhes bibliográficos
Autores: Guadalupe, J.J., Pérez, M. [0000-0002-3050-3712], Varona, J.L. [0000-0002-2023-9946]
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:1999
País:España
Recursos:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69beb750603269e820a4
Acesso em linha:https://investigacion.unirioja.es/documentos/5bbc69beb750603269e820a4
Access Level:acceso abierto
Palavra-chave:A<sub>p</sub> weights
BMO
Commutators
Fourier-Bessel series
Descrição
Resumo:In this paper we study the boundedness of the commutators [b, Sn] where b is a BMO function and Sn denotes the n-th partial sum of the Fourier-Bessel series on (0, ∞). Perturbing the measure by exp(2b) we obtain that certain operators related to Sn depend analytically on the functional parameter b.