Hardy spaces and unbounded quasidisks

Yong Chan Kim, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We study the maximal number 0 ≤ h ≤ +∞ for a given plane domain ω such that f ∈ Hp whenever p < h and f is analytic in the unit disk with values in ω. One of our main contributions is an estimate of h for unbounded K-quasidisks.

Original languageEnglish
Pages (from-to)291-300
Number of pages10
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume36
Issue number1
DOIs
Publication statusPublished - 2011

Keywords

  • Hardy space
  • Harmonic measure
  • Quasiconformal mapping

ASJC Scopus subject areas

  • Mathematics(all)

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