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ArticleOriginal scientific text

Title

Derivative and antiderivative operators and the size of complex domains

Authors 1

Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, APDO. 1160 Avenida Reina Mercedes 41080 Sevilla, Spain

Abstract

We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.

Keywords

ENG
universal function, equicontinuous sequence, derivative operator, antiderivative operator, MacLane's theorem, size of a domain

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Annales Polonici Mathematici
1994/59/3
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Pages:
267-274
Main language of publication
English
Received
1993-07-16
Published
1994
Exact and natural sciences