ArticleOriginal scientific text
Title
Remarks on the proof of a generalized Hartogs Lemma
Authors 1, 2
Affiliations
- Steklov Mathematical Institute, 8 Gubkin st., GSP-1, Moscow 117966, Russia
- Deptartment of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, U.S.A.
Abstract
This paper is an outgrowth of a paper by the first author on a generalized Hartogs Lemma. We complete the discussion of the nonlinear ∂̅ problem ∂f/∂z̅ = ψ(z,f(z)). We also simplify the proofs by a different choice of Banach spaces of functions.
Keywords
nonlinear ∂̅ problem, Hartogs Lemma
Bibliography
- E. M. Chirka, Generalized Hartogs Lemma and the nonlinear ∂̅-equation, in: 'Complex Analysis in Contemporary Mathematics', dedicated to B. Shabat, E. Chirka (ed.), Fasis, Moscow, to appear (in Russian).
- S. Ivashkovich and V. Shevchishin, Pseudo-holomorphic curves and envelopes of holomorphy of two-spheres in ℂ ℙ², preprint.
- J.-P. Rosay, A counterexample related to Hartogs phenomenon (a question by E. Chirka), preprint.
Pages:
43-47
Main language of publication
English
Received
1998-01-21
Published
1998
Exact and natural sciences