#### 28 Citations

On a normality criterion of S. Mandelbrojt

- Mathematics
- 2013

Extension of classical Mandelbrojt's criterion for normality of a family of holomorphic zero-free functions of several complex variables is given. We show that a family of holomorphic functions of… Expand

On a normality criterion of Mandelbrojt

- Mathematics
- 2014

Extension of the classical Mandelbrojt’s criterion for normality of a family of zero-free holomorphic functions of several complex variables is given. We show that a family of holomorphic functions… Expand

The Normality Domain of a Family of Holomorphic Functions on a Stein Space (II)

- Mathematics
- 2014

Let $X$ be a Stein space. We prove that for any family $\mathcal{F} \subset \mathcal{O}(X)$ every normality domain of it in a weak sence is a meromorphically $\mathcal{O}(X)$ - convex domain of $X$.

On a normality criterion of S. Mandelbrojt

- Mathematics
- 2013

Extension of classical Mandelbrojt’s criterion for normality of a family of holomorphic zero-free functions of several complex variables is given. We show that a family of holomorphic functions of… Expand

Weak normality of families of meromorphic mappings and bubbling in higher dimensions

- Mathematics
- 2011

We recall several natural notions of convergence of meromorphic mappings between general complex manifolds and give a precise analytic description of them in the case when the target manifold is… Expand

Normal families of functions and groups of pseudoconformal diffeomorphisms of quaternion and octonion variables

- Mathematics
- 2006

This paper is devoted to the specific class of pseudoconformal mappings of quaternion and octonion variables. Normal families of such functions are defined and investigated. Four criteria of a family… Expand

Meromorphic approximation theorem in a Stein space

- Mathematics
- 2005

We prove the meromorphic version of the Weil–Oka approximation theorem in a reduced Stein space X and give some characterizations of meromorphically $\mathcal{O}(X)$-convex open sets of X. As an… Expand

On the meromorphic convexity of normality domains in a Stein manifold

- Mathematics
- 2000

Abstract: Let X be a Stein manifold. Then we prove that for any family ℱ⊂?(X) the normality domain Dℱ) is a meromorphically ?(X)-convex open set of X.