Functions analytic in a unit ball of bounded L-index in joint variables


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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.

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Andriy Bandura

Ivano-Frankivsk National Technical University of Oil and Gas

编辑信件的主要联系方式.
Email: andriykopanytsia@gmail.com
乌克兰, Ivano-Frankivsk

Oleh Skaskiv

Ivan Franko National University of Lviv

Email: andriykopanytsia@gmail.com
乌克兰, Lviv

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