Harmonic measure of the outer boundary of colander sets
Volume 263 / 2022
Studia Mathematica 263 (2022), 59-87
MSC: Primary 31A05, 31A15, 31B05, 31B15; Secondary 30C85.
DOI: 10.4064/sm200924-10-6
Published online: 9 November 2021
Abstract
We present two companion results: Phragmén–Lindelöf type tight bounds on the minimal possible growth of subharmonic functions with a recurrent zero set, and tight bounds on the maximal possible decay of the harmonic measure of the outer boundary of colander sets.
