从谐波 Lipschitz 空间到加权谐波 Zygmund 空间的合成算子

M. A. Bakhit, N. M. Dahshan, Ranya Tahier, Omniat O. Y. Karrar, Mehreen S. Khan, M. A. Orsud
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引用次数: 0

摘要

本文研究了从谐波 Lipschitz 空间 LipHα, (0<α<1) 到加权谐波 Zygmund 空间 ZHβ, (0<β<∞) 的组成算子在开放单位盘上是有界和紧凑的必要条件和充分条件。作为应用,它估算了这种算子从 LipHα 到 ZHβ 空间的基本规范。
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Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space
The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of such an operator from LipHα into ZHβ spaces.
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来源期刊
CiteScore
1.30
自引率
10.00%
发文量
60
审稿时长
12 weeks
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