Holomorphic Extension Theorems in Lipschitz Domains of {\mathbb{C}}^{2}期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Holomorphic Extension Theorems in Lipschitz Domains of {\mathbb{C}}^{2}

Authors:

Ricardo Abreu Blaya Juan Bory Reyes Dixan Peña Peña Frank Sommen

Institution:

1. Faculty of Mathematics and Informatics, Universidad de Holguín, Holguín, 80100, Cuba
2. Department of Mathematics, Universidad de Oriente, Santiago de Cuba, 90500, Cuba
3. Department of Mathematical Analysis, Ghent University, Galglaan 2, 9000, Gent, Belgium

Abstract:

The holomorphic functions of several complex variables are closely related to the continuously differentiable solutions $f : {\mathbb{R}}^{2n} \mapsto {\mathbb{C}}_{n}$f : {\mathbb{R}}^{2n} \mapsto {\mathbb{C}}_{n} of the so called isotonic system

?_x₁ + i (f)\tilde] ?_{x ₂} = 0\partial _{\underbar{x}_1 } + i \tilde{f} \mathop{\partial _{\underbar{x} _2 } = 0}

Keywords:
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