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.
@article{bwmeta1.element.bwnjournal-article-apmv59z3p267bwm,
author = {Luis Bernal-Gonz\'alez},
title = {Derivative and antiderivative operators and the size of complex domains},
journal = {Annales Polonici Mathematici},
volume = {60},
year = {1994},
pages = {267-274},
zbl = {0843.47019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv59z3p267bwm}
}
Luis Bernal-González. Derivative and antiderivative operators and the size of complex domains. Annales Polonici Mathematici, Tome 60 (1994) pp. 267-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv59z3p267bwm/
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