Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables

• Published in: Український математичний вісник
• Date: 2018
• Main Authors: Bandura, A.I., Skaskiv, O.B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169396
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables / A.I. Bandura, O.B. Skaskiv // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 177-193. — Бібліогр.: 37 назв. — англ.

We obtain the sufficient conditions of boundedness of L-index in joint variables for analytic functions in the unit ball, where L : Cⁿ → Rⁿ₊ is a continuous positive vector-function. They give an estimate of the maximum modulus of an analytic function by its minimum modulus on a skeleton in a polydi...