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| 摘要: |
| 本文在单位圆盘上给出了调和Zygmund型空间$\mathcal{Z}_{\mathcal{H}}^{\alpha}(\alpha>1)$到调和Bloch型空间$\mathcal{B_{\mathcal{H}}^{\beta}}(0<\beta <\infty)$的复合算子$C_{\varphi}$的有界性与紧性的充分必要判别条件，进而建立了复合算子差分$C_{\varphi}-C_{\psi}: \mathcal{Z}_{\mathcal{H}}^{\alpha} \rightarrow \mathcal{B_{\mathcal{H}}^{\beta}}$的有界性与紧性的等价刻画. |
| 关键词: 差分 复合算子 调和Zygmund型空间 调和Bloch型空间 |
| DOI： |
| 分类号:O177.2 |
| 基金项目: |
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| Differences of composition operators from harmonic Zygmund-type spaces to harmonic Bloch-type spaces |
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liuxinyu,liangyuxia
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| Abstract: |
| The paper investigates a necessary and sufficient condition for the bounded and compact composition operator from harmonic Zygmund-type spaces $\mathcal{Z}_{\mathcal{H}}^{\alpha}(\alpha>1)$ into harmonic Bloch-type spaces $\mathcal{B_{\mathcal{H}}^{\beta}}(0<\beta <\infty)$ on the unit disk. Furthermore, several equivalent conditions for the boundedness and compactness of the difference of composition operators $C_{\varphi}-C_{\psi}: \mathcal{Z}_{\mathcal{H}}^{\alpha} \rightarrow \mathcal{B_{\mathcal{H}}^{\beta}}$ are presented. |
| Key words: differences composition operator harmonic Zygmund-type space harmonic Bloch-type space |
