Pseudo shift operators with large images

M. C. Calderón-Moreno. "Pseudo shift operators with large images." Colloquium Mathematicae 93.1 (2002): 131-136. <http://eudml.org/doc/284918>.

@article{M2002,
abstract = {We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.},
author = {M. C. Calderón-Moreno},
journal = {Colloquium Mathematicae},
keywords = {residual set; large image operator; pseudo shift operator; holomorphic functions; pseudo shift operators},
language = {eng},
number = {1},
pages = {131-136},
title = {Pseudo shift operators with large images},
url = {http://eudml.org/doc/284918},
volume = {93},
year = {2002},
}

TY - JOUR
AU - M. C. Calderón-Moreno
TI - Pseudo shift operators with large images
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 131
EP - 136
AB - We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.
LA - eng
KW - residual set; large image operator; pseudo shift operator; holomorphic functions; pseudo shift operators
UR - http://eudml.org/doc/284918
ER -