On zeros and boundary behavior of bounded harmonic functions

S. Ponnusamy, Antti Rasila

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study the connection between multiplicities of the zeros and boundary behavior of bounded analytic and harmonic functions. We prove existence of angular (non-tangential) limit at a boundary point provided that multiplicities of zeroes of the function grow fast enough on a given sequence of points approaching the boundary.

Original languageEnglish
Pages (from-to)199-207
Number of pages9
JournalAnalysis (Germany)
Volume30
Issue number2
DOIs
StatePublished - 2010
Externally publishedYes

Keywords

  • Analytic and planar harmonic functions
  • angular limits
  • multiplicity of zeroes

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