Blaschke-Type Conditions for Analytic and Subharmonic Functions in the Unit Disk: Local Analogs and Inverse Problems

Autor:	Leonid Golinskii, S. Favorov
Rok vydání:	2012
Předmět:	Subharmonic function Mathematics::Complex Variables Applied Mathematics Mathematical analysis Inverse problem Unit disk Measure (mathematics) Unit circle Computational Theory and Mathematics Bounded function Fine topology Analysis Analytic function Mathematics
Zdroj:	Computational Methods and Function Theory. 12:151-166
ISSN:	2195-3724 1617-9447
DOI:	10.1007/bf03321819
Popis:	We continue the study of analytic and subharmonic functions in the unit disk of finite order with an arbitrary set of singular points on the unit circle, introduced in [6]. We focus on a local analog of the main result from [6], which is similar to the standard local Blaschke condition for analytic functions bounded in a lune of the unit disk. We also discuss the inverse problem, i.e. the existence of a subharmonic function from this class with a given singular set on the circle and given Riesz measure subject to a certain Blaschke-type condition.
Databáze:	OpenAIRE
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