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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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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.

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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)