Disks extremal with respect to interpolation constants.

Nguyen Van Trao

Publicacions Matemàtiques (2000)

  • Volume: 44, Issue: 1, page 119-133
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Van Trao, Nguyen. "Disks extremal with respect to interpolation constants.." Publicacions Matemàtiques 44.1 (2000): 119-133. <http://eudml.org/doc/41385>.

@article{VanTrao2000,
abstract = {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.},
author = {Van Trao, Nguyen},
journal = {Publicacions Matemàtiques},
keywords = {Funciones analíticas; Funciones de variación acotada; Conjuntos de interpolación; extremal disk; interpolation constant},
language = {eng},
number = {1},
pages = {119-133},
title = {Disks extremal with respect to interpolation constants.},
url = {http://eudml.org/doc/41385},
volume = {44},
year = {2000},
}

TY - JOUR
AU - Van Trao, Nguyen
TI - Disks extremal with respect to interpolation constants.
JO - Publicacions Matemàtiques
PY - 2000
VL - 44
IS - 1
SP - 119
EP - 133
AB - 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.
LA - eng
KW - Funciones analíticas; Funciones de variación acotada; Conjuntos de interpolación; extremal disk; interpolation constant
UR - http://eudml.org/doc/41385
ER -

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