Geodesic
Universality of derivative and antiderivative operators with holomorphic coefficients
María del Carmen Calderón-Moreno1
1 Departamento de Análisis Matemático Facultad de Matemáticas, apdo. 1160 Avenida de Reina Mercedes 41080 Sevilla, Spain
Annales Polonici Mathematici, Tome 77 (2001) no. 3, pp. 197-207

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove some conditions on a sequence of functions and on a complex domain for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to them. Conditions for the equicontinuity of those families of operators are also studied. The conditions depend upon the $``$size” of the domain and functions. Some earlier results about multiplicative complex sequences are extended.
DOI : 10.4064/ap77-3-1
Keywords: prove conditions sequence functions complex domain existence universal functions respect sequences certain derivative antiderivative operators related conditions equicontinuity those families operators studied conditions depend size domain functions earlier results about multiplicative complex sequences extended

María del Carmen Calderón-Moreno 1

1 Departamento de Análisis Matemático Facultad de Matemáticas, apdo. 1160 Avenida de Reina Mercedes 41080 Sevilla, Spain 
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María del Carmen Calderón-Moreno. Universality of derivative and antiderivative operators
with holomorphic coefficients. Annales Polonici Mathematici, Tome 77 (2001) no. 3, pp. 197-207. doi: 10.4064/ap77-3-1

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