Harmonic measure of the outer boundary of colander sets
Tom 263 / 2022
                    
                    
                        Studia Mathematica 263 (2022), 59-87                    
                                        
                        MSC: Primary 31A05, 31A15, 31B05, 31B15; Secondary 30C85.                    
                                        
                        DOI: 10.4064/sm200924-10-6                    
                                            
                            Opublikowany online: 9 November 2021                        
                                    
                                                Streszczenie
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.