Boundedness of the Bergman type operators on mixed norm spaces

DOI10.1090/S0002-9939-02-06332-3zbMath1020.47024MaRDI QIDQ4529685

Yongmin Liu

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

boundednessHölder inequalityGleason's problemnormal functionBergman type operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Other generalizations of function theory of one complex variable (32A30)

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Cites Work

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• Compactness for Toeplitz and Hankel operators on weighted Bergman spaces of the ball in \(\mathbb{C}^ n\)
• Bergman type operator on mixed norm spaces with applications
• Some properties of fractional integrals. II
• Mixed-Norm Generalizations of Bergman Spaces and Duality
• The gleason problem in bergman–sobolev spaces
• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Projections, the Weighted Bergman Spaces, and the Bloch Space