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Non-holomorphic projections and extension of biholomorphic mappings
Non-holomorphic projections extension of biholomorphic mappings Complex Variables
2012/5/24
We show that biholomorphic mappings between two bounded, pseudoconvex domains with smooth boundary extend smoothly to the boundaries of the domains, under a regularity condition on a family of twisted...
$\mathcal{C}^{\infty}$-hypoellipticity and extension of $CR$ function
CR-hypoelliptic CR-embedding holomorphic extension C∞ wave front set holomorphic wedge extension
2011/9/14
Abstract: Let $M$ be a $CR$ submanifold of a complex manifold $X$. The main result of this article is to show that $CR$-hypoellipticity at $p_0\in{M}$ is necessary and sufficient for holomorphic exten...
An Extension of Ozaki and Nunokawa's Univalence Criterion
Univalent functions Univalence criteria
2010/1/22
In this paper we obtain a sufficient condition for the analyticity and the univalence of the functions defined by an integral operator. In a particular case we find the well known condition for unival...