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1. Maximum modulus in a bidisc of analytic functions of bounded L-index and an analogue of Hayman’s theorem

Creator:
Bandura, Andriy, Petrechko, Nataliia, and Skaskiv, Oleh
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
analytic function, bidisc, bounded L-index in joint variables, maximum modulus, partial derivative, and Cauchy’s integral formula
Language:
English
Description:
We generalize some criteria of boundedness of L-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of (p + 1)th partial derivative by lower order partial derivatives (analogue of Hayman’s theorem).
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public