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.
@article{bwmeta1.element.bwnjournal-article-bcpv37i1p115bwm,
author = {Godula, Janusz and Starkov, Victor},
title = {Linearly invariant families of holomorphic functions in the unit polydisc},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {115-127},
zbl = {0868.32008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p115bwm}
}
Godula, Janusz; Starkov, Victor. Linearly invariant families of holomorphic functions in the unit polydisc. Banach Center Publications, Tome 37 (1996) pp. 115-127. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p115bwm/
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