Polynomial convexity properties of closure of domains biholomorphic to balls

Authors

  • Cezar JOIȚA Simion Stoilow Institute of Mathematics of the Romanian Academy P.O. Box 1-764, Bucharest 014700, Romania, e-mail: Cezar.Joita@imar.ro

DOI:

https://doi.org/10.24193/subbmath.2022.2.07

Keywords:

Biholomorphic image of ball, Runge pair.

Abstract

We discuss the connections between the polynomial convexity proper- ties of a domain biholomorphic to ball and its closure.

Mathematics Subject Classification (2010): 32H02, 32E15.

Received 10 January 2022; Accepted 18 January 2022.

References

Barth, T.J., Taut and tight complex manifolds, Proc. Amer. Math. Soc., 24(1970), 429- 431.

Fornæss, J.E., Stensønes, B., Density of orbits in complex dynamics, Ergodic Theory Dynam. Systems, 26(2006), 169-178.

Fornæss, J.E., Stout, E.L., Polydiscs in complex manifolds, Math. Ann., 227(1977), 145- 153.

Fornæss, J.E., Stout, E.L., Spreading polydiscs on complex manifolds, Amer. J. Math., 99(1977), 933-960.

Fornæss, J.E., Wold, E.E., An embedding of the unit ball that does not embed into a Loewner chain, Math. Z., 296(2020), 73-78.

Forstneric, F., Interpolation by holomorphic automorphisms and embeddings in Cn, J. Geom. Anal., 9(1999), 93-117.

Hamada, H., Iancu, M., Kohr, G., On certain polynomially convex sets in Cn, (in preparation).

Hormander, L., An Introduction to Complex Analysis in Several Variables, Third edition, North-Holland Mathematical Library, 7. North-Holland Publishing Co., Amsterdam, 1990.

Iancu, M., On certain polynomially convex sets in Cn, Geometric Function Theory in Several Complex Variables and Complex Banach Spaces – Workshop dedicated to the memory of Professor Gabriela Kohr, Cluj-Napoca, December 1-3, 2021.

Joita, C., On a problem of Bremermann concerning Runge domains, Math. Ann., 337(2007), 395-400.

Varolin, D., The density property for complex manifolds and geometric structures, J. Geom. Anal., 11(2001), 135-160.

Varolin, D., The density property for complex manifolds and geometric structures II, Int. J. Math., 11(2000), 837-847.

Wermer, J., An example concerning polynomial convexity, Math. Ann., 139(1959), 147- 150.

Wermer, J., Addendum to “An example concerning polynomial convexity”, Math. Ann., 140(1960), 322-323.

Wermer, J., On a domain equivalent to the bidisk, Math. Ann., 248(1980), 193-194. [16] Wold, E.F., A Fatou-Bieberbach domain in C2 which is not Runge, Math. Ann., 340(2008), 775-780.

Downloads

Published

2022-06-10

How to Cite

JOIȚA, C. (2022). Polynomial convexity properties of closure of domains biholomorphic to balls. Studia Universitatis Babeș-Bolyai Mathematica, 67(2), 309–316. https://doi.org/10.24193/subbmath.2022.2.07

Issue

Section

Articles

Similar Articles

<< < 1 2 3 > >> 

You may also start an advanced similarity search for this article.