Geodesic
Derivative and antiderivative operators and the size of complex domains
Annales Polonici Mathematici, Tome 59 (1994) no. 3, pp. 267-274.

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

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.
DOI : 10.4064/ap-59-3-267-274
Keywords: universal function, equicontinuous sequence, derivative operator, antiderivative operator, MacLane's theorem, size of a domain

Luis Bernal-González 1

1 
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Luis Bernal-González. Derivative and antiderivative operators and the size of complex domains. Annales Polonici Mathematici, Tome 59 (1994) no. 3, pp. 267-274. doi : 10.4064/ap-59-3-267-274. http://geodesic.mathdoc.fr/articles/10.4064/ap-59-3-267-274/

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