单位球上正规权Zygmund空间上的加权复合算子

Abstract

Abstract:

Let $\mu$ be a normal function on $[0, 1)$. Suppose that $\varphi$ is a holomorphic self-map on the unit ball $B$ in ${\bf C}^{n}$ and $\psi\in H(B)$. Here the authors characterize the boundedness and compactness of the weighted composition operator $\psi C_{\varphi}$ on the Zygmund-type space ${\cal Z}_{\mu}(B)$ with a normal weight $\mu$ on the unit ball in ${\bf C}^{n}$.

Key words: Normal weight Zygmund space, High dimensions, Composition operator, Boundedness, Compactness

CLC Number:

O174.56

Si Xu,Xuejun Zhang. Weighted Composition Operator on the Normal Weight Zygmund Space in the Unit Ball[J].Acta mathematica scientia,Series A, 2020, 40(2): 288-303.

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References 41

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Weighted Composition Operator on the Normal Weight Zygmund Space in the Unit Ball

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