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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… Click to show full 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.

Keywords: index joint; ball; functions analytic; joint variables

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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