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 
@article{10_4064_ap_59_3_267_274,
     author = {Luis Bernal-Gonz\'alez},
     title = {Derivative and antiderivative operators and the size of complex domains},
     journal = {Annales Polonici Mathematici},
     pages = {267--274},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {1994},
     doi = {10.4064/ap-59-3-267-274},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-59-3-267-274/}
}
TY  - JOUR
AU  - Luis Bernal-González
TI  - Derivative and antiderivative operators and the size of complex domains
JO  - Annales Polonici Mathematici
PY  - 1994
SP  - 267
EP  - 274
VL  - 59
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-59-3-267-274/
DO  - 10.4064/ap-59-3-267-274
LA  - en
ID  - 10_4064_ap_59_3_267_274
ER  - 
%0 Journal Article
%A Luis Bernal-González
%T Derivative and antiderivative operators and the size of complex domains
%J Annales Polonici Mathematici
%D 1994
%P 267-274
%V 59
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-59-3-267-274/
%R 10.4064/ap-59-3-267-274
%G en
%F 10_4064_ap_59_3_267_274
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

Cité par Sources :