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Weighted harmonic Bergman kernel on half-spaces
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- Nam Kyesook
- Department of Mathematics, Hanshin University
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- Koo Hyungwoon
- Department of Mathematics, Korea University
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- Yi Heungsu
- Department of Mathematics, Kwangwoon University
Bibliographic Information
- Published
- 2006
- DOI
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- 10.2969/jmsj/1149166779
- Publisher
- The Mathematical Society of Japan
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Description
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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 58 (2), 351-362, 2006
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680093231744
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- NII Article ID
- 10018381238
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2228563
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- NDL BIB ID
- 7892085
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed
