Weighted harmonic Bergman kernel on half-spaces

Hyung Woon Koo, Kyesook Nam, Heungsu Yi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

On the setting of the upper half-space H of the Euclidean n-space, we study weighted harmonic Bergman functions as follows. First, we define the fractional derivatives of some functions defined on H. Next, we find the explicit formula for weighted Bergman kernel through the fractional derivative of the extended Poisson kernel and then we give the size estimates for derivatives of this kernel.

Original languageEnglish
Pages (from-to)351-362
Number of pages12
JournalJournal of the Mathematical Society of Japan
Volume58
Issue number2
Publication statusPublished - 2006 Apr 1

Fingerprint

Bergman Kernel
Fractional Derivative
Half-space
Harmonic
Poisson Kernel
Explicit Formula
Euclidean
kernel
Derivative
Estimate

Keywords

  • Fractional derivative
  • Harmonic Bergman functions
  • Upper half-space
  • Weighted Bergman kernel

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Weighted harmonic Bergman kernel on half-spaces. / Koo, Hyung Woon; Nam, Kyesook; Yi, Heungsu.

In: Journal of the Mathematical Society of Japan, Vol. 58, No. 2, 01.04.2006, p. 351-362.

Research output: Contribution to journalArticle

Koo, Hyung Woon ; Nam, Kyesook ; Yi, Heungsu. / Weighted harmonic Bergman kernel on half-spaces. In: Journal of the Mathematical Society of Japan. 2006 ; Vol. 58, No. 2. pp. 351-362.
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