Maximal cluster sets along arbitrary curves

Authors:
L. Bernal-González;M. C. Calderón-Moreno;J. A. Prado-Bassas
Affiliations:
Departamento de Análisis Matemático, Universidad de Sevilla, Avenida Reina Mercedes Apdo. 1160, 41080 Sevilla, Spain;Departamento de Análisis Matemático, Universidad de Sevilla, Avenida Reina Mercedes Apdo. 1160, 41080 Sevilla, Spain;Departamento de Análisis Matemático, Universidad de Sevilla, Avenida Reina Mercedes Apdo. 1160, 41080 Sevilla, Spain
Venue:
Journal of Approximation Theory
Year:
2004

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Abstract

The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.