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Extensions of the classical Cesàro operator on Hardy spaces

Opened Access Extensions of the classical Cesàro operator on Hardy spaces
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Autor: Curbera Costello, Guillermo
Ricker, Werner J.
Departamento: Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 2011
Publicado en: Mathematica Scandinavica, 108 (2), 279-290.
Tipo de documento: Artículo
Resumen: For each 1 ≤ p < ∞, the classical Cesàro operator C from the Hardy space Hp to itself has the property that there exist analytic functions f ∈ Hp with C(f ) ∈ Hp. This article deals with the identification and properties of the (Banach) space [C, Hp] consisting of all analytic functions that C maps into Hp. It is shown that [C, Hp] contains classical Banach spaces of analytic functions X, genuinely bigger that Hp, such that C has a continuous Hp-valued extension to X. An important feature is that [C, Hp] is the largest amongst all such spaces X.
Cita: Curbera Costello, G. y Ricker, W.J. (2011). Extensions of the classical Cesàro operator on Hardy spaces. Mathematica Scandinavica, 108 (2), 279-290.
Tamaño: 114.7Kb
Formato: PDF

URI: http://hdl.handle.net/11441/41796

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