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Holomorphic maps of discs into balls of lp-spaces

Published online by Cambridge University Press:  24 October 2008

Josip Globevnik
Josip Globevnik
Affiliation:
Institute of Mathematics, Physics and Mechanics, E.K. University of Ljubljana, Yugoslavia
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Abstract

Let 1 ≤ p < ∞, let be the open unit ball of lp and let Δ be the open unit disc in ℂ. We prove that there is a holomorphic map such that F(Δ) is dense in and such that whenever .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 123 - 133
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

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