Norm estimation of the harmonic Bergman projection on half-spaces

Hyungwoon Koo, Kyesook Nam, Heung Su Yi

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

On the setting of the upper half-space H of the Euclidean n-spaces, we give a sharp norm estimate of the weighted harmonic Bergman projection on L pα for 1 < p < ∞. Also, we obtain the norm estimate of the projection depending on a < -1 when p is fixed.

Original languageEnglish
Pages (from-to)225-235
Number of pages11
JournalJournal of the Mathematical Society of Japan
Volume61
Issue number1
DOIs
Publication statusPublished - 2009 Jan

Keywords

  • Bergman projection
  • Harmonic Bergman functions
  • Upper half-space
  • Weighted Bergman kernel

ASJC Scopus subject areas

  • Mathematics(all)

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