单位球上全纯函数BESOV空间上的算子

A. Harutyunyan, W. Lusky
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引用次数: 0

摘要

在本文中,我们考虑了所有$0< p<\infty.$的Besov空间$B_p(\beta)$上的Toeplitz- $T_{\bar{h}}^{ \alpha}$和differentiation- $D^\delta $算子,我们证明了$T_{\bar{h}}^{ \alpha}: B_p(\beta)\rightarrow B_p(\beta)$对于$\bar h\in H^\infty(B^n)$和$D^\delta :B_p(\beta)\rightarrow B_p(\widetilde\beta)$,其中 $\widetilde\beta=\beta +p\delta .$
本文章由计算机程序翻译,如有差异,请以英文原文为准。
OPERATORS ON THE BESOV SPACES OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN $\mathbb{C}^n$
In the present paper we consider the Toeplitz-$T_{\bar{h}}^{ \alpha}$ and differentiation-$D^\delta $ operators on the Besov spaces $B_p(\beta)$ for all $0< p<\infty.$ We show that $T_{\bar{h}}^{ \alpha}: B_p(\beta)\rightarrow B_p(\beta)$ for $\bar h\in H^\infty(B^n)$ and $D^\delta :B_p(\beta)\rightarrow B_p(\widetilde\beta)$, where  $\widetilde\beta=\beta +p\delta .$
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