We show that the holomorphic functions on polysectors whose derivatives remain bounded on proper subpolysectors are precisely those strongly asymptotically developable in the sense of Majima. This fact allows us to solve two Borel-Ritt type interpolation problems from a functional-analytic viewpoint.
@article{bwmeta1.element.bwnjournal-article-smv133i3p231bwm,
author = {J. Sanz and F. Galindo},
title = {On strongly asymptotically developable functions and the Borel-Ritt theorem},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {231-248},
zbl = {0930.32004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv133i3p231bwm}
}
Sanz, J.; Galindo, F. On strongly asymptotically developable functions and the Borel-Ritt theorem. Studia Mathematica, Tome 133 (1999) pp. 231-248. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i3p231bwm/
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