Email this article Functions analytic in a unit ball of bounded L-index in joint variables
- Authors: Bandura A.1, Skaskiv O.2
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Affiliations:
- Ivano-Frankivsk National Technical University of Oil and Gas
- Ivan Franko National University of Lviv
- Issue: Vol 227, No 1 (2017)
- Pages: 1-12
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240081
- DOI: https://doi.org/10.1007/s10958-017-3570-6
- ID: 240081
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Abstract
The concept of boundedness of the L-index in joint variables (see Mat. Stud., 45, 12–26 (2016), dx.doi.org/10.15330/ms.45.1.12-26) is generalized for a function analytic in a ball. The criteria of boundedness of the L-index in joint variables, which describe the local behavior of partial derivatives on the skeleton of a polydisc, are proved.
About the authors
Andriy Bandura
Ivano-Frankivsk National Technical University of Oil and Gas
Author for correspondence.
Email: andriykopanytsia@gmail.com
Ukraine, Ivano-Frankivsk
Oleh Skaskiv
Ivan Franko National University of Lviv
Email: andriykopanytsia@gmail.com
Ukraine, Lviv
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