Linearly invariant families of holomorphic functions in the unit polydisc
Banach Center Publications (1996)
- Volume: 37, Issue: 1, page 115-127
- ISSN: 0137-6934
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topGodula, Janusz, and Starkov, Victor. "Linearly invariant families of holomorphic functions in the unit polydisc." Banach Center Publications 37.1 (1996): 115-127. <http://eudml.org/doc/208588>.
@article{Godula1996,
abstract = {In this paper we extend the definition of the linearly invariant family and the definition of the universal linearly invariant family to higher dimensional case. We characterize these classes and give some of their properties. We also give a relationship of these families with the Bloch space.},
author = {Godula, Janusz, Starkov, Victor},
journal = {Banach Center Publications},
keywords = {linearly invariant family},
language = {eng},
number = {1},
pages = {115-127},
title = {Linearly invariant families of holomorphic functions in the unit polydisc},
url = {http://eudml.org/doc/208588},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Godula, Janusz
AU - Starkov, Victor
TI - Linearly invariant families of holomorphic functions in the unit polydisc
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 115
EP - 127
AB - In this paper we extend the definition of the linearly invariant family and the definition of the universal linearly invariant family to higher dimensional case. We characterize these classes and give some of their properties. We also give a relationship of these families with the Bloch space.
LA - eng
KW - linearly invariant family
UR - http://eudml.org/doc/208588
ER -
References
top- [1] Ch. Pommerenke, Linear-invariante Familien analytischer Funktionen, Math. Ann., 155 (1964), 108-154. Zbl0128.30105
- [2] J. Godula, V. Starkov, Applications of ideas of Möbius invariance to obtaining equivalent definitions of Bloch functions, Annales Univ. Mariae Curia-Skłodowska 49 (1996), 41-58. Zbl0918.30018
- [3] J. Godula, V. Starkov, Equivalent definitions of universal linearly-invariant familie, Materiały XI Konferencji Szkoleniowej z Teorii Zagadnień Ekstremalnych, Łódź, 1990, 34-38.
- [4] R.M. Timoney, Bloch functions in several complex variables, I, Bull. London Math. Soc., 12 (1980), 241-267. Zbl0416.32010
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