Weighted harmonic Bergman kernel on half-spaces

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概要

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• 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.

• 社団法人 日本数学会の論文
• 2006-04-01

著者

• Koo Hyungwoon

  Department Of Mathematics Korea University

• Koo Hyungwoon

  Department Of Mathematics Hankuk University Of Foreign Studies

• Nam Kyesook

  Department Of Mathematics Hanshin University

• YI HeungSu

  Department of Mathematics Kwangwoon University

関連論文

• Optimal norm estimate of operators related to the harmonic Bergman projection on the ball
• Finite rank product theorems for Toeplitz operators on the half-space
• Two-weighted inequalities for the derivatives of holomorphic functions and Carleson measures on the unit ball
• Norm estimation of the harmonic Bergman projection on half-spaces
• Weighted harmonic Bergman kernel on half-spaces
• Bergman norm estimates of Poisson integrals
• REPRESENTATION PROPERTY OF WEIGHTED HARMONIC BERGMAN FUNCTIONS ON THE UPPER HALF-SPACES(Analytic Function Spaces and Their Operators)
• A NOTE ON COMPOSITION OPERATORS IN SEVERAL VARIABLES(Analytic Function Spaces and Their Operators)
• Representations and interpolations of harmonic Bergman functions on half-spaces
• HARMONIC LITTLE BLOCH FUNCTIONS ON HALF-SPACES

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