Boundary behavior of the power series of the enlarged Bloch class

Autor:	I. R. Kayumov
Rok vydání:	2009
Předmět:	Power series Class (set theory) General Mathematics Mathematical analysis Boundary (topology) Function (mathematics) Lacunary function Unit disk Measure (mathematics) Analytic function Mathematics
Zdroj:	Siberian Mathematical Journal. 50:450-455
ISSN:	1573-9260 0037-4466
DOI:	10.1007/s11202-009-0050-3
Popis:	We construct the classes of functions analytic in the unit disk, other than lacunary, and possessing the following property: If a function belongs to one of these classes and the sum of the squares of its coefficients is unbounded then there exists a set of positive measure on the circle where the function has no radial limits.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::01cc489805f37a8a067f8bf39febd50b https://doi.org/10.1007/s11202-009-0050-3 Zobrazit plný text záznamu Plný text ve formátu PDF