Remarks on the proof of a generalized Hartogs Lemma

• Autorzy: Evgeni Chirka , Jean Pierre Rosay
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nonlinear ∂̅ problem; Hartogs Lemma

Kategorie tematyczne

• 32D15: Continuation of analytic objects
• 32A10: Holomorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 70
• Numer: 1
• Strony: 43-47

Daty

wydano

1998

otrzymano

1998-01-21

Twórcy

autor

Evgeni Chirka

• Steklov Mathematical Institute, 8 Gubkin st., GSP-1, Moscow 117966, Russia

autor

Jean Pierre Rosay

• Deptartment of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, U.S.A.

Bibliografia

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