Weighted harmonic bergman functions on half-spaces

Hyungwoon Koo; Kyesook Nam; Y. I. Heungsu

doi:10.4134/JKMS.2005.42.5.975

Weighted harmonic bergman functions on half-spaces

Hyungwoon Koo, Kyesook Nam, Y. I. Heungsu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

On the setting of the upper half-space H of the Euclidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < ∞ and nonorthogonal projections for 1 ≤ p < ∞. Using these results, we show that Bergman norm is equivalent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of b_α ¹.

Original language	English
Pages (from-to)	975-1002
Number of pages	28
Journal	Journal of the Korean Mathematical Society
Volume	42
Issue number	5
DOIs	https://doi.org/10.4134/JKMS.2005.42.5.975
Publication status	Published - 2005 Sept

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.4134/JKMS.2005.42.5.975

Cite this

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abstract = "On the setting of the upper half-space H of the Euclidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < ∞ and nonorthogonal projections for 1 ≤ p < ∞. Using these results, we show that Bergman norm is equivalent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of bα 1.",

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AU - Nam, Kyesook

AU - Heungsu, Y. I.

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N2 - On the setting of the upper half-space H of the Euclidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < ∞ and nonorthogonal projections for 1 ≤ p < ∞. Using these results, we show that Bergman norm is equivalent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of bα 1.

AB - On the setting of the upper half-space H of the Euclidean n-space, we show the boundedness of weighted Bergman projection for 1 < p < ∞ and nonorthogonal projections for 1 ≤ p < ∞. Using these results, we show that Bergman norm is equivalent to the normal derivative norms on weighted harmonic Bergman spaces. Finally, we find the dual of bα 1.

KW - Fractional derivative

KW - Harmonic Bergman functions

KW - Upper half-space

KW - Weighted Bergman kernel

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ER -

Weighted harmonic bergman functions on half-spaces

Abstract

Keywords

ASJC Scopus subject areas

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