Estimates of the harmonic Bergman kernel on smooth domains

Hyeonbae Kang, Hyungwoon Koo

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

We obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smooth domains. Based on these estimates we derive mapping properties of the harmonic Bergman projection on Lebesgue spaces and Lipschitz spaces.

Original languageEnglish
Pages (from-to)220-239
Number of pages20
JournalJournal of Functional Analysis
Volume185
Issue number1
DOIs
Publication statusPublished - 2001 Sept 10

Bibliographical note

Funding Information:
1The first author’s research was partially supported by KOSEF 98-0701-03-01-5 and a grant from SNU and the second author’s research was partially supported by KOSEF 981-0102-009-2. We thank the referee for pointing out the relevance of Lemma 3.1 in [FR] to Theorem 4.2 of this paper. We also thank Professor D. Sarason for helpful suggestions.

Keywords

  • Biharmonic equations
  • Harmonic Bergman kernel
  • Harmonic Bergman projection

ASJC Scopus subject areas

  • Analysis

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