Keywords
- Proper Mapping
- Pseudoconvex Domain
- Affine Subspace
- Reflection Principle
- Proper Holomorphic Mapping
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Cima, J., Krantz, S.G. and Suffridge, T.: A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications. Math. Zeit. 186, 1–8 (1984).
Cima, J. and Suffridge, T.: A reflection principle with applications to proper holomorphic mappings. Math. Ann. 265, 189–500 (1983).
Faran, J.: Maps from the two-ball to the three-ball and maps taking lines to plane curves. Invent. Math. 68 441–475 (1982).
Faran, J. J.: The linearity of proper holomorphic maps between balls in the low codimension case. Preprint.
Forstneric, F.: Embedding strictly pseudoconvex domains into balls. T.A.M.S., 295, 347–367 (1986).
Globevnik, J.: Boundary interpolation by proper holomorphic maps". Preprint.
Globevnik, J. and Stout, E.L.: Boundary regularity for holomorphic maps from the disc to the ball. Preprint.
Hakim, M. and Sibony, N.: Fonctions holomorphes bornees sur la boule unite de Cn. Invent. Math. 67, 213–222 (1982).
Lempert, L.: Imbedding strictly pseudoconvex domains into balls. Amer. J. Math. 104, 901–904 (1982).
Lewy, H.: On the boundary behavior of holomorphic mappings. Acad. Naz. Lincei 35, 1–8 (1977).
Low, E.: Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls. Preprint.
Webster, S.: On mapping an n-ball into an (n+1)-ball in complex space. Pacific J. Math. 81, 267–272 (1979).
Whitney, H.: Singularities of smooth k manifolds in (2k-1) space. Annals of Math. 45, 220–247 (1944).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Cima, J.A., Suffridge, T. (1987). Proper mappings between balls in Cn . In: Krantz, S.G. (eds) Complex Analysis. Lecture Notes in Mathematics, vol 1268. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097297
Download citation
DOI: https://doi.org/10.1007/BFb0097297
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18094-4
Online ISBN: 978-3-540-47752-5
eBook Packages: Springer Book Archive
