Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-24T19:00:06.852Z Has data issue: false hasContentIssue false

Domination of the supremum of a bounded harmonic function by its supremum over a countable subset

Published online by Cambridge University Press:  20 January 2009

F. F. Bonsall
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT
Rights & Permissions [Opens in a new window]

Extract

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.

For what sequences {an} of points of the open unit disc D does there exist a constant k such that

for all bounded harmonic functions f on D?

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

1.Bonsall, F. F., Decompositions of functions as sums of elementary functions, Quart, J. Math. Oxford (2), 37 (1986), 129136.CrossRefGoogle Scholar
2.Brown, L., Shields, A. and Zeller, K., On absolutely convergent exponential sums, Trans. Amer. Math. Soc. 96 (1960), 162183.CrossRefGoogle Scholar
3.Dunford, N. and Schwartz, J. T., Linear Operators Part I (Interscience Publishers, New York, 1958).Google Scholar
4.Garnett, J. B., Bounded Analytic Functions (Academic Press, New York, 1981).Google Scholar