Reproducing kernels and multiple interpolation by holomorphic functions
D. R. Georgijević (1986)
Matematički Vesnik
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D. R. Georgijević (1986)
Matematički Vesnik
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Josip Globevnik (1987)
Mathematische Zeitschrift
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F.H. Szafraniec (1986)
Monatshefte für Mathematik
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Joaquim Bruna, Joaquin Ma. Ortega (1986)
Mathematische Annalen
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Edgar Lee Stout, Jean-Pierre Rosay (1988)
Mathematica Scandinavica
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Nguyen Van Trao (2000)
Publicacions Matemàtiques
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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.
Josip Globevnik (1988)
Mathematische Zeitschrift
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Bo Berndtsson (1983)
Mathematische Annalen
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Heinz Junek (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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M. Nikić (1988)
Matematički Vesnik
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Alexander P Schuster, Kristian Seip (2000)
Publicacions Matemàtiques
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An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in L spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such L space (0 < p < ∞), then it...