Some remarks on Hartogs’ extension lemma
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- by Miran Černe and Manuel Flores PDF
- Proc. Amer. Math. Soc. 138 (2010), 3603-3608 Request permission
Abstract:
Motivated by a result and a question by E. M. Chirka we consider the Hartogs’ extension property for some connected sets in $\mathbb {C}^ 2$ of the form $K=\Sigma \cup (\partial \Delta \times \overline {\Delta })$, where $\Sigma$ is a possibly nonconnected compact subset of $\overline {\Delta }\times \overline {\Delta }\subset \mathbb {C}^ 2$.References
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Additional Information
- Miran Černe
- Affiliation: Department of Mathematics, University of Ljubljana, Jadranska 19, 1 111 Ljubljana, Slovenia
- Email: miran.cerne@fmf.uni-lj.si
- Manuel Flores
- Affiliation: Department of Mathematics, University of La Laguna, 38771 La Laguna, Tenerife, Spain
- Email: mflores@ull.es
- Received by editor(s): October 7, 2009
- Received by editor(s) in revised form: December 17, 2009, and January 1, 2010
- Published electronically: April 14, 2010
- Additional Notes: The first author was supported in part by grant Analiza in geometrija P1-0291 from the Ministry of Higher Education, Science and Technology of the Republic of Slovenia.
The second author was supported in part by a grant from Ministerio de Ciencia y Tecnología, MTM 2007/65009. - Communicated by: Franc Forstneric
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3603-3608
- MSC (2010): Primary 32D10; Secondary 32Q60, 32Q65
- DOI: https://doi.org/10.1090/S0002-9939-10-10367-0
- MathSciNet review: 2661559
Dedicated: Dedicated to Professor J. M. Méndez on the occasion of his 60th birthday