Weighted harmonic Bergman kernel on half-spaces

• Koo Hyungwoon

  Department of Mathematics, Korea University

• Nam Kyesook

  Department of Mathematics, Hanshin University

• Yi Heungsu

  Department of Mathematics, Kwangwoon University

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 58 (2), 351-362, 2006

  一般社団法人 日本数学会

キーワード

• weighted Bergman kernel
• harmonic Bergman functions
• fractional derivative
• upper half-space

詳細情報

• CRID: 1390282680093231744
• NII論文ID: 10018381238
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1149166779
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2228563
• NDL書誌ID: 7892085
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7892085
• 本文言語コード: en
• データソース種別:
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