On a Blaschke-type condition for subharmonic functions with two sets of singularities on the boundary
Complex Variables
2019-01-10 v1 Classical Analysis and ODEs
Abstract
Given two compact sets, and , on the unit circle, we study the class of subharmonic functions on the unit disk which can grow at the direction of and (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 such condition is demonstrated.
Keywords
Cite
@article{arxiv.1901.02762,
title = {On a Blaschke-type condition for subharmonic functions with two sets of singularities on the boundary},
author = {S. Favorov and L. Golinskii},
journal= {arXiv preprint arXiv:1901.02762},
year = {2019}
}
Comments
15 pages in LaTeX