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A norm-preserving $ H\sp \infty$ extension problem

Author: Zhi Min Yan
Journal: Proc. Amer. Math. Soc. 121 (1994), 1049-1056
MSC: Primary 32M15; Secondary 32H02
MathSciNet review: 1198460
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Abstract: First we establish a Schwarz lemma for holomorphic mappings between bounded symmetric domains. Then, as an application, we solve a norm-preserving extension problem.

References [Enhancements On Off] (What's this?)

  • [AY] J. Arazy and Z. Yan, Mobius transformations in bounded symmetric domains (in preparation).
  • [K] A. Korányi, A Schwarz lemma for bounded symmetric domains, Proc. Amer. Math. Soc. 17 (1966), 210-213. MR 0199434 (33:7579)
  • [L] O. Loos, Bounded symmetric domains and Jordan pairs, Math. Lecture, Univ. of California at Irvine, 1977.
  • [R] W. Rudin, Function theory on the unit ball of $ {C^n}$, Springer, New York, 1980. MR 601594 (82i:32002)

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Article copyright: © Copyright 1994 American Mathematical Society

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