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- W2019148524 abstract "Let $U^{n}$ be the unit polydisc of ${Bbb C}^{n}$ and $phi=(phi_1, >..., phi_n)$ a holomorphic self-map of $U^{n}.$ By ${cal B}^p(U^{n})$, ${cal B}^p_{0}(U^{n})$ and ${cal B}^p_{0*}(U^{n})$ denote the $p$-Bloch space, Little $p$-Bloch space and Little star $p$-Bloch space in the unit polydisc $U^n$ respectively, where $p, q>0$. This paper gives the estimates of the essential norms of bounded composition operators $C_{phi}$ induced by $phi$ between ${cal B}^p(U^n)$ (${cal B}^p_{0}(U^n)$ or ${cal B}^p_{0*}(U^n)$) and ${cal B}^q(U^n)$ (${cal B}^q_{0}(U^n)$ or ${cal B}^q_{0*}(U^n)$). As their applications, some necessary and sufficient conditions for the bounded composition operators $C_{phi}$ to be compact from ${cal B}^p(U^n)$ $({cal B}^p_{0}(U^n)$ or ${cal B}^p_{0*}(U^n))$ into ${cal B}^q(U^n)$ (${cal B}^q_{0}(U^n)$ or ${cal B}^q_{0*}(U^n)$) are obtained." @default.
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- W2019148524 date "2006-01-01" @default.
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- W2019148524 title "The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications" @default.
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- W2019148524 doi "https://doi.org/10.1155/jia/2006/90742" @default.
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