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Harmonic measure of the outer boundary of colander sets

Volume 263 / 2022

Adi Glücksam 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


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.


  • Adi GlücksamDepartment of Mathematics
    University of Toronto
    Bahen Centre
    40 St. George St., Room 6290
    Toronto, Ontario, Canada, M5S 2E4

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