Optimal norm estimate of operators related to the harmonic Bergman projection on the ball

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概要

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• We first obtain an optimal norm estimate for one-parameter family of operators associated with the weighted harmonic Bergman projections on the ball. We then use this result and derive an optimal norm estimate for the weighted harmonic Bergman projections.

著者

• Choe Boo

  Department Of Mathematics Korea University

• Koo Hyungwoon

  Department of Mathematics, Korea University

• Nam Kyesook

  Department of Mathematics, Seoul National University

• Koo Hyungwoon

  Department Of Mathematics Hankuk University Of Foreign Studies

• Nam Kyesook

  Department Of Mathematics Seoul National University

• Nam Kyesook

  Department Of Mathematics Hanshin University

関連論文

• On higher dimensional Luecking's theorem
• 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)
• THE ESSENTIAL SPECTRA OF TOEPLITZ OPERATORS WITH SYMBOLS IN H^∞ + C.
• Positive Toeplitz operators from a harmonic Bergman space into another
• Note on the Berezin Transform on Herz Spaces (Analytic Function Spaces and Their Operators RIMS共同研究報告集)
• REPRESENTING AND INTERPOLATING SEQUENCES FOR HARMONIC BERGMAN FUNCTIONS ON THE UPPER HALF-SPACES(Spaces of Analytic and Harmonic Functions and Operator Theory)
• Representations and interpolations of harmonic Bergman functions on half-spaces

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