Hostname: page-component-5cf477f64f-mgq6s Total loading time: 0 Render date: 2025-04-04T18:34:22.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Notes on Interpolation by Bounded Analytic Functions

Published online by Cambridge University Press:  20 November 2018

Takahiko Nakazi
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let ﹛zn﹜ be a sequence in the open unit disc and write In the case of pn for all n, the interpolation problems are considered.

Keywords

30E05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 404 - 408
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Carleson, L., An interpolation problem for bounded analytic functions Amer. Jour. Math. 80 (1958), pp. 921–930.Google Scholar
2. Clark, D. N., On interpolating sequences and the theory of Hankel and Toeplitz matrices J. Functional Anal. 5 (1970), pp. 247–258.Google Scholar
3. Garnett, J., Two remarks on interpolation by bounded analytic functions, Banach Spaces of Analytic Functions (Baker et al., eds.) (Lecture Notes in Math. Vol. 604), Springer-Verlag, Berlin.Google Scholar
4. Hoffman, K., Banach Spaces of Analytic Functions Prentice Hall, Englewood Cliffs, New Jersey.Google Scholar
5. McDonald, G. and Sundberg, C., Toeplitz operators on the disc Indiana Univ. Math. J. 28 (1979), pp. 595–611.Google Scholar
6. Øyma, K., Extremal interpolatory functions in H∞ Proc. Amer. Math. Soc. 64 (1977), pp. 272–276.Google Scholar
7. Power, S. C., Hankel Operators On Hilbert Space (Research Notes in Math. Vol. 64), Pitman Advanced Publishing Program, Boston, London, Melbourne.Google Scholar