Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem

Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem

We generalize some criteria of boundedness of $\mathbf{L}$-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 Haym...

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Bibliographic Details
Main Authors: Andriy Bandura, Nataliia Petrechko, Oleh Skaskiv
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-12-01
Series:Mathematica Bohemica
Subjects:
analytic function
bidisc
bounded ${\mathbf L}$-index in joint variables
maximum modulus
partial derivative
Cauchy's integral formula
Online Access:http://mb.math.cas.cz/full/143/4/mb143_4_2.pdf

Internet

http://mb.math.cas.cz/full/143/4/mb143_4_2.pdf

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