We define a function μ from the set of sequences in the unit ball to R*+ by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas.
@article{urn:eudml:doc:41385,
title = {Disks extremal with respect to interpolation constants.},
journal = {Publicacions Matem\`atiques},
volume = {44},
year = {2000},
pages = {119-133},
zbl = {0964.32009},
mrnumber = {MR1775746},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41385}
}
Van Trao, Nguyen. Disks extremal with respect to interpolation constants.. Publicacions Matemàtiques, Tome 44 (2000) pp. 119-133. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41385/