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

Аннотация

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.