A new inclusion for Bavrin's families of holomorphic functions in $n$-circular domains

Year, pages: 2016, 845 - 852

The paper concerns inclusions of Bavrin families of complex valued functions which are hololomorphic in bounded complete $n$-circular domains $\mathcal{G} \subset \mathbb{C}ⁿ$ and fulfil some geometric conditions. Such families $\mathcal{X}_G$ were applied later to research some families of locally biholomorphic mappings in $\mathbb{C}ⁿ$. (see for instance, J. A. Pfaltzgraff and T. J Suffridge, P. Liczberski, I. Graham and G. Kohr, H. Hamada, T. Honda, G. Kohr). Some results for functions of such families $\mathcal{X}_G$ were obtained by [BAVRIN, I. I.: A Class of Regular Bounded Functions in the Case of Several Complex Variables and Extreme Problems in That Class, Moskov Obl. Ped. Inst., Moscow, 1976 (Russian)], [D

Dłogosz, R., Leś, E., Sibelska, A. 2016. A new inclusion for Bavrin's families of holomorphic functions in $n$-circular domains. In Mathematica Slovaca, vol. 66, no.4, pp. 845-852. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0187

Dłogosz, R., Leś, E., Sibelska, A. (2016). A new inclusion for Bavrin's families of holomorphic functions in $n$-circular domains. Mathematica Slovaca, 66(4), 845-852. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0187