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| Weighted Composition Operators from the Bloch Spaces to Weighted Hardy Spaces on Bounded Symmetric Domains* |
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Citation： |
Lei LI,Xiao WANG.Weighted Composition Operators from the Bloch Spaces to Weighted Hardy Spaces on Bounded Symmetric Domains*[J].Chinese Annals of Mathematics B,2023,44(2):289~298 |
| Page view： 650
Net amount： 489 |
Authors： |
Lei LI; Xiao WANG |
Foundation： |
National Natural Science Foundation of China (No. 12171251). |
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| Abstract： |
Let BE be a bounded symmetric domain realized as the unit open ball of JB*-triples. The authors will characterize the bounded weighted composition operator from the Bloch space B(BE) to weighted Hardy space Hv ∞(BE) in terms of Kobayashi distance. The authors also give a sufficient condition for the compactness, and also give the upper bound of its essential norm. As a corollary, they show that the boundedness and compactness are equivalent for composition operator from B(BE) to H ∞(BE), when E is a finite dimension JB*-triple. Finally, they show the boundedness and compactness of weighted composition operators from B(BE) to Hv,∞0(BE) are equivalent when E is a finite dimension JB*-triple. |
Keywords： |
Weighted composition operators, Bloch functions, Holomorphic functions, Bounded symmetric domains, Kobayashi distance |
Classification： |
47B38, 32A18, 32M15 |
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