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Harmonic measure of the outer boundary of colander sets

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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.

Original languageEnglish
Pages (from-to)59-87
Number of pages29
JournalStudia Mathematica
Volume263
Issue number1
DOIs
StatePublished - 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Instytut Matematyczny PAN, 2022.

Keywords

  • Phragmén–Lindelöf
  • harmonic measures

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