Harmonic Bergman functions as radial derivatives of Bergman functions

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Abstract

In the setting of the half-space of the euclidean n-space, we show that every harmonic Bergman function is the radial derivative of a Bergman function with an appropriate norm bound.

Original languageEnglish
Pages (from-to)401-408
Number of pages8
JournalProceedings of the American Mathematical Society
Volume131
Issue number2
DOIs
Publication statusPublished - 2003 Feb 1

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Keywords

  • Bergman functions
  • Radial derivative
  • Upper half-space

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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