Year: 2025
Type: article
Abstract: It is known that not every CR function admits a holomorphic extension. This paper proposes a new CR extension theorem for the hypersurface $\left\{(z, w) \in \C^2; \mbox{Im} \ z = \phi(w, \overline{w}) \right\}$, with conditions on the function $\phi: \C^2 \longrightarrow \C$. The proof of this fact is based on Hans Lewy's Extension Theorem as well as on the properties of the Levi form of the hypersurface.
Source: Revista de Matemática da UFOP
Authors: Paulo Liboni, Daniel Simão
Institution: Universidade Estadual de Londrina
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414946508
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