Mapping using p-holomorphic functions
https://doi.org/10.29235/1561-2430-2022-58-4-351-357
Abstract
In this paper, the properties of p-holomorphic maps are considered. An analog of Rolle’s theorem and a global p-diffeomorphism theorem for p-holomorphic functions are found. A modified Carathéodoryʼs theorem (conformal mapping) for p-holomorphic mappings is obtained. We prove the theorems of the mapping of rectangular domains and the compact exhaustion of bounded domains.
About the Authors
I. L. Vassilyev
Belarusian State University
Belarus
Belarus
Igor L. Vassilyev – Ph. D. (Physics and Mathematics), Associate Professor, Associate Professor of the Department of Function Theory, Belarusian State University.
4, Nezavisimosti Ave., 220030, Minsk
V. V. Dovgodilin
Belarusian State University
Belarus
Belarus
Vladimir V. Dovgodilin – Postgraduate Student of the Department of Function Theory, Belarusian State University.
4, Nezavisimosti Ave., 220030, Minsk
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