scholarly journals Interpolating sequences and the Nevanlinna Pick problem

1991 ◽  
Vol 35 ◽  
pp. 507-516 ◽  
Author(s):  
A. Stray
Keyword(s):  
Interpolating Sequences ◽  
Pick Problem

scholarly journals Interpolating sequences for the Bergman space.

1994 ◽  
Vol 41 (1) ◽  
pp. 73-86 ◽  
Author(s):  
Ke He Zhu
Keyword(s):  
Bergman Space ◽  
Interpolating Sequences

scholarly journals On the spectral Nevanlinna–Pick problem

2005 ◽  
Vol 170 (1) ◽  
pp. 23-55 ◽  
Author(s):  
Constantin Costara
Keyword(s):  
Pick Problem

Interpolating sequences for the derivatives of Bloch functions

1992 ◽  
Vol 34 (1) ◽  
pp. 35-41 ◽  
Author(s):  
K. R. M. Attele
Keyword(s):  
Bergman Space ◽  
Hankel Operator ◽  
Essential Norm ◽  
Bloch Function ◽  
Sufficient Condition ◽  
Bloch Functions ◽  
Interpolating Sequences ◽  
Analytic Symbol ◽  
Derivatives Of

AbstractWe prove that sufficiently separated sequences are interpolating sequences for f′(z)(1−|z|2) where f is a Bloch function. If the sequence {zn} is an η net then the boundedness f′(z)(1−|z|2) on {zn} is a sufficient condition for f to be a Bloch function. The essential norm of a Hankel operator with a conjugate analytic symbol acting on the Bergman space is shown to be equivalent to .

Homeomorphic Analytic Maps into the Maximal Ideal Space of H∞

1999 ◽  
Vol 51 (1) ◽  
pp. 147-163 ◽  
Author(s):  
Daniel Suárez
Keyword(s):  
Maximal Ideal ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Gleason Part ◽  
Interpolating Sequences ◽  
Closed Subalgebra ◽  
Analytic Maps ◽  
The Ideal

AbstractLet m be a point of the maximal ideal space of H∞ with nontrivial Gleason part P(m). If Lm : D → P(m) is the Hoffman map, we show that H∞ ° Lm is a closed subalgebra of H∞. We characterize the points m for which Lm is a homeomorphism in terms of interpolating sequences, and we show that in this case H∞ ° Lm coincides with H∞. Also, if Im is the ideal of functions in H∞ that identically vanish on P(m), we estimate the distance of any f ϵ H∞ to Im.

Corrigendum on ``Interpolating sequences on analytic Besov type spaces\"

2010 ◽  
Vol 59 (6) ◽  
pp. 1931-1934 ◽  
Author(s):  
Jordi Pau ◽  
Nicola Arcozzi ◽  
Daniel Blasi
Keyword(s):  
Interpolating Sequences ◽  
Type Spaces ◽  
Besov Type Spaces

scholarly journals The Corona Property in Nevanlinna quotient algebras and interpolating sequences

2019 ◽  
Vol 276 (8) ◽  
pp. 2636-2661 ◽  
Author(s):  
Xavier Massaneda ◽  
Artur Nicolau ◽  
Pascal J. Thomas
Keyword(s):  
Interpolating Sequences
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