Simultaneously maximal radial cluster sets

Authors:
L. Bernal-González;M. C. Calderón-Moreno;J. A. Prado-Bassas
Affiliations:
Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain;Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain;Departamento de Matemáticas, Universidad Autónoma de Madrid, Ctra. Colmenar Viejo km. 15,28049 Madrid, Spain
Venue:
Journal of Approximation Theory
Year:
2005

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Abstract

In this paper, we show that for a wide class of operators T-including infinite order differential operators, and multiplication and composition operators-acting on the space H(D) of holomorphic functions in the unit disk D, we have most functions f@?H(D) which enjoy the property that Tf has maximal radial cluster set at any boundary point.