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Essential norms of weighted composition operators from the \(\alpha \)-Bloch space to a weighted-type space on the unit ball. (English) Zbl 1160.32011

Summary: This paper finds some lower and upper bounds for the essential norm of the weighted composition operator from \(\alpha \)-Bloch spaces to the weighted-type space \(H_{\mu }^{\infty }\) on the unit ball for the case \(\alpha \geq 1\).

MSC:

32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
47B33 Linear composition operators
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References:

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