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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2013 Volume 9, Number 3, Pages 304–315 (Mi jmag566)

This article is cited in 2 papers

On Analytic and Subharmonic Functions in Unit Disc Growing Near a Part of the Boundary

S. Ju. Favorov, L. D. Radchenko

V. N. Karazin Kharkiv National University, Kharkiv, Ukraine

Abstract: In the paper there was found an analog of the Blaschke condition for analytic and subharmonic functions in the unit disc, which grow at most as a given function $\varphi$ near some subset of the boundary.

Key words and phrases: analytic function, subharmonic function, Riesz measure, Blaschke condition.

MSC: 30D50, 31A05

Received: 17.01.2012
Revised: 20.12.2012

Language: English



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