Nontangential interpolating sequences and interpolation by normal functions
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- by Kam-fook Tse PDF
- Proc. Amer. Math. Soc. 29 (1971), 351-354 Request permission
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.References
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- Kam-fook Tse, On the sums and products of normal functions, Comment. Math. Univ. St. Paul. 17 (1969), 63–72. MR 268385
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 351-354
- MSC: Primary 30.70
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274777-4
- MathSciNet review: 0274777