Norm estimation of the harmonic Bergman projection 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-spaces, we give a sharp norm estimate of the weighted harmonic Bergman projection on Lpα for 1 < p < ∞. Also, we obtain the norm estimate of the projection depending on α > -1 when p is fixed.

• 社団法人 日本数学会の論文
• 2009-01-01

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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