An estimate of the essential norm of a composition operator from to in the unit ball.
Zeng, Hong-Gang, Zhou, Ze-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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Zeng, Hong-Gang, Zhou, Ze-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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Evgueni Doubtsov, Andrei Petrov (2013)
Open Mathematics
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Let φ be a holomorphic mapping between complex unit balls. We characterize those regular φ for which the composition operators C φ: f ↦ f ○ φ map the Bloch space into the Hardy space.
Ueki, Sei-Ichiro, Luo, Luo (2008)
Abstract and Applied Analysis
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Clahane, Dana D., Stević, Stevo (2006)
Journal of Inequalities and Applications [electronic only]
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A. V. Harutyunyan, Wolfgang Lusky (2009)
Commentationes Mathematicae Universitatis Carolinae
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This work is an introduction to anisotropic spaces of holomorphic functions, which have -weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding space. We establish a description of via the Bloch classes for all .
Choa, J.S., Kim, H.O. (1988)
International Journal of Mathematics and Mathematical Sciences
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Fu, Xiaohong, Zhu, Xiangling (2008)
Abstract and Applied Analysis
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Ze-Hua Zhou, Yu-Xia Liang (2012)
Czechoslovak Mathematical Journal
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In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition...