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Multiplier and Composition Operator Between Several Holomorphic Function Spaces in $$\mathbf {C^{n}}$$ C n
Complex Analysis and Operator Theory ( IF 0.8 ) Pub Date : 2021-02-22 , DOI: 10.1007/s11785-021-01081-y Si Xu , Xuejun Zhang
中文翻译:
$$ \ mathbf {C ^ {n}} $$ C n中几个全纯函数空间之间的乘数和合成算子
更新日期:2021-02-23
Complex Analysis and Operator Theory ( IF 0.8 ) Pub Date : 2021-02-22 , DOI: 10.1007/s11785-021-01081-y Si Xu , Xuejun Zhang
In this paper, we characterize bounded and compact multiplier operators \(M_{u}\) on the general Hardy type spaces \(H^{p,q,s}(B_{n})\). Moreover, we also study bounded and compact composition operators \(C_{\varphi }\) from \(H^{p,q,s}(B_{n})\) to \(H^{\infty }_{\frac{q+n}{p}}(B_{n})\).
中文翻译:
$$ \ mathbf {C ^ {n}} $$ C n中几个全纯函数空间之间的乘数和合成算子
在本文中,我们在一般的Hardy类型空间\(H ^ {p,q,s}(B_ {n})\)上刻划有界和紧凑型乘法算子\(M_ {u} \)的特征。此外,我们还研究了有界和紧致合成算子\(C _ {\ varphi} \)从\(H ^ {p,q,s}(B_ {n})\)到\(H ^ {\ infty} _ { \ frac {q + n} {p}}(B_ {n})\)。