Nontangential interpolating sequences and interpolation by normal functions-Reference-Cited by-同舟云学术

Nontangential interpolating sequences and interpolation by normal functions

Published:1971 Issue:2 Volume:29 Page:351-354
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Tse Kam-fook

Abstract

The first part of the paper shows that a sequence of points in the unit disk of the complex plane, tending nontangentially to a point on the unit circle, is an interpolating sequence if and only if the pseudo-hyperbolic distance between any pair of points in the sequence is bounded away from zero. The second part shows that interpolating sequences for bounded analytic functions are also interpolating sequences for normal functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1971-029-02/S0002-9939-1971-0274777-4/S0002-9939-1971-0274777-4.pdf

Reference5 articles.

1. An interpolation problem for bounded analytic functions;Carleson, Lennart;Amer. J. Math.,1958

2. Blaschke quotients and normality;Cima, Joseph A.;Proc. Amer. Math. Soc.,1968

3. Some sequential properties of normal and non-normal functions with applications to automorphic functions;Lappan, Peter;Comment. Math. Univ. St. Paul.,1964

4. Interpolation in 𝐻^{∞};Newman, D. J.;Trans. Amer. Math. Soc.,1959

5. On the sums and products of normal functions;Tse, Kam-fook;Comment. Math. Univ. St. Paul.,1969

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