Universality of derivative and antiderivative operators with holomorphic coefficients

María del Carmen Calderón-Moreno. "Universality of derivative and antiderivative operators with holomorphic coefficients." Annales Polonici Mathematici 77.3 (2001): 197-207. <http://eudml.org/doc/280318>.

@article{MaríadelCarmenCalderón2001,
abstract = {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.},
author = {María del Carmen Calderón-Moreno},
journal = {Annales Polonici Mathematici},
keywords = {universal function; residual set; derivative operator; antiderivative operator; size and shape of a domain},
language = {eng},
number = {3},
pages = {197-207},
title = {Universality of derivative and antiderivative operators with holomorphic coefficients},
url = {http://eudml.org/doc/280318},
volume = {77},
year = {2001},
}

TY - JOUR
AU - María del Carmen Calderón-Moreno
TI - Universality of derivative and antiderivative operators with holomorphic coefficients
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 3
SP - 197
EP - 207
AB - 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.
LA - eng
KW - universal function; residual set; derivative operator; antiderivative operator; size and shape of a domain
UR - http://eudml.org/doc/280318
ER -