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Journal of Applied Analysis

Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw

2 Issues per year

CiteScore 2017: 0.33

SCImago Journal Rank (SJR) 2017: 0.183
Source Normalized Impact per Paper (SNIP) 2017: 0.364

Mathematical Citation Quotient (MCQ) 2017: 0.27

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Volume 19, Issue 1


Embedding theorems for holomorphic functions of several complex variables

Renata Długosz
Published Online: 2013-06-04 | DOI: https://doi.org/10.1515/jaa-2013-0008


Many authors studied families of complex valued functions, which are holomorphic in bounded complete n-circular domains and fulfil some geometric conditions. The above functions were applied later to research families of locally biholomorphic mappings in ℂn. In this paper we consider a problem of inclusions between a few of such families and families , , which are defined by applying a function decomposition with respect to the group of kth roots of unity.

Keywords: Holomorphic functions of several complex variables; n-circular domains in ℂn; Minkowski function; function decomposition with respect to a cyclic group; embedding theorems

About the article

Received: 2013-02-02

Revised: 2013-03-22

Accepted: 2013-03-22

Published Online: 2013-06-04

Published in Print: 2013-06-01

Citation Information: Journal of Applied Analysis, Volume 19, Issue 1, Pages 153–165, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: https://doi.org/10.1515/jaa-2013-0008.

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Renata Długosz and Piotr Liczberski
Journal of Mathematical Analysis and Applications, 2017, Volume 450, Number 1, Page 169

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