Isometries on products of composition and integral operators on Bloch type space.
Li, Geng-Lei, Zhou, Ze-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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Li, Geng-Lei, Zhou, Ze-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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Kei Izuchi, Yuko Izuchi, Shûichi Ohno (2014)
Open Mathematics
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Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk , we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior and on the boundary respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators. ...
Hedayatian, Karim, Karimi, Lotfollah (2009)
Abstract and Applied Analysis
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Flavia Colonna (2013)
Open Mathematics
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Let ψ and φ be analytic functions on the open unit disk with φ() ⊆ . We give new characterizations of the bounded and compact weighted composition operators W ψ,ϕ from the Hardy spaces H p, 1 ≤ p ≤ ∞, the Bloch space B, the weighted Bergman spaces A αp, α > − 1,1 ≤ p < ∞, and the Dirichlet space to the Bloch space in terms of boundedness (respectively, convergence to 0) of the Bloch norms of W ψ,ϕ f for suitable collections of functions f in the respective spaces. We also...
Fang, Zhong-Shan, Zhou, Ze-Hua (2008)
Abstract and Applied Analysis
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Stević, Stevo (2009)
Abstract and Applied Analysis
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Chacón, Gerardo A., Chacón, Gerardo R., Giménez, José (2006)
Boletín de la Asociación Matemática Venezolana
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Manhas, J.S. (2007)
International Journal of Mathematics and Mathematical Sciences
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Ke-Ben Yang, Ze-Hua Zhou (2010)
Czechoslovak Mathematical Journal
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Let and be holomorphic self-maps of the unit disk, and denote by , the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.