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

Title:

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

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5a14a6d8-b411-4654-baa0-5a2a5ef2fd00
uuid:5a14a6d8-b411-4654-baa0-5a2a5ef2fd00
doi:10.21136/MB.2017.0110-16

Subject:

analytic function, bidisc, bounded L-index in joint variables, maximum modulus, partial derivative, and Cauchy’s integral formula

Type:

model:article and TEXT

Format:

bez média and svazek

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).

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

339-354

Source:

Mathematica bohemica | 2018 Volume:143 | Number:4

Harvested from:

CDK

Metadata only:

false