On a Blaschke-Type Condition for Subharmonic Functions with Two Sets of Singularities on the Boundary

Autor:	S. Favorov, L. Golinskii
Rok vydání:	2020
Předmět:	Pure mathematics Unit circle Character (mathematics) Compact space Boundary (topology) Gravitational singularity Harmonic measure Unit disk Measure (mathematics) Mathematics
Zdroj:	Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory ISBN: 9783030448189
DOI:	10.1007/978-3-030-44819-6_12
Popis:	Given two compact sets, E and F, on the unit circle, we study the class of subharmonic functions on the unit disk which can grow at the direction of E and F (sets of singularities) at different rate. The main result concerns the Blaschke-type condition for the Riesz measure of such functions. The optimal character of this condition is demonstrated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::528a690457f2a14caef31108125e70a3 https://doi.org/10.1007/978-3-030-44819-6_12 Zobrazit plný text záznamu