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
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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
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