Convex harmonic mappings are not necessarily in h(1/2)

Alexandru Aleman, Maria J. Martin

Research output: Contribution to journalArticlepeer-review

Abstract

We construct convex harmonic mappings in the unit disk that do not belong to the harmonic Hardy space h(1/2). This provides a negative answer to a question raised by P. Duren.
Original languageEnglish
Pages (from-to)755-763
JournalProceedings of the American Mathematical Society
Volume143
Issue number2
Publication statusPublished - 2015

Subject classification (UKÄ)

  • Mathematical Sciences

Free keywords

  • Convex harmonic mappings
  • Hardy spaces

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