Disks extremal with respect to interpolation constants

• Autores: Nguyen van Trao
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 44, Nº 1, 2000, págs. 119-133
• Idioma: inglés
• Títulos paralelos:
  • Extremos de discos respecto a las constantes de interpolación
• Enlaces
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• Resumen

  • We define a function $\mu$ from the set of sequences in the unit ball to ${\mathbb R}^*_+$ 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.