# Remarks on the proof of a generalized Hartogs Lemma

Evgeni Chirka; Jean Pierre Rosay

Annales Polonici Mathematici (1998)

- Volume: 70, Issue: 1, page 43-47
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topEvgeni Chirka, and Jean Pierre Rosay. "Remarks on the proof of a generalized Hartogs Lemma." Annales Polonici Mathematici 70.1 (1998): 43-47. <http://eudml.org/doc/262807>.

@article{EvgeniChirka1998,

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.},

author = {Evgeni Chirka, Jean Pierre Rosay},

journal = {Annales Polonici Mathematici},

keywords = {nonlinear ∂̅ problem; Hartogs Lemma; generalized Hartogs lemma; holomorphic extension; -problem},

language = {eng},

number = {1},

pages = {43-47},

title = {Remarks on the proof of a generalized Hartogs Lemma},

url = {http://eudml.org/doc/262807},

volume = {70},

year = {1998},

}

TY - JOUR

AU - Evgeni Chirka

AU - Jean Pierre Rosay

TI - Remarks on the proof of a generalized Hartogs Lemma

JO - Annales Polonici Mathematici

PY - 1998

VL - 70

IS - 1

SP - 43

EP - 47

AB - 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.

LA - eng

KW - nonlinear ∂̅ problem; Hartogs Lemma; generalized Hartogs lemma; holomorphic extension; -problem

UR - http://eudml.org/doc/262807

ER -

## References

top- [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).
- [2] S. Ivashkovich and V. Shevchishin, Pseudo-holomorphic curves and envelopes of holomorphy of two-spheres in ℂ ℙ², preprint. Zbl0920.32012
- [3] J.-P. Rosay, A counterexample related to Hartogs phenomenon (a question by E. Chirka), preprint. Zbl0960.32020

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.