Remarks on the proof of a generalized Hartogs Lemma
Evgeni Chirka ; Jean Pierre Rosay
Annales Polonici Mathematici, Tome 69 (1998), p. 43-47 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:262807
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     title = {Remarks on the proof of a generalized Hartogs Lemma},
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     year = {1998},
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Evgeni Chirka; Jean Pierre Rosay. Remarks on the proof of a generalized Hartogs Lemma. Annales Polonici Mathematici, Tome 69 (1998) pp. 43-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p43bwm/

[000] [1] 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).

[001] [2] S. Ivashkovich and V. Shevchishin, Pseudo-holomorphic curves and envelopes of holomorphy of two-spheres in ℂ ℙ², preprint. | Zbl 0920.32012

[002] [3] J.-P. Rosay, A counterexample related to Hartogs phenomenon (a question by E. Chirka), preprint. | Zbl 0960.32020