A norm-preserving $H^ \infty$ extension problem
HTML articles powered by AMS MathViewer
- by Zhi Min Yan
- Proc. Amer. Math. Soc. 121 (1994), 1049-1056
- DOI: https://doi.org/10.1090/S0002-9939-1994-1198460-1
- PDF | Request permission
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
- J. Arazy and Z. Yan, Mobius transformations in bounded symmetric domains (in preparation).
- Adam Korányi, A Schwarz lemma for bounded symmetric domains, Proc. Amer. Math. Soc. 17 (1966), 210–213. MR 199434, DOI 10.1090/S0002-9939-1966-0199434-2 O. Loos, Bounded symmetric domains and Jordan pairs, Math. Lecture, Univ. of California at Irvine, 1977.
- Walter Rudin, Function theory in the unit ball of $\textbf {C}^{n}$, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 241, Springer-Verlag, New York-Berlin, 1980. MR 601594, DOI 10.1007/978-1-4613-8098-6
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 1049-1056
- MSC: Primary 32M15; Secondary 32H02
- DOI: https://doi.org/10.1090/S0002-9939-1994-1198460-1
- MathSciNet review: 1198460