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Differences of weighted composition operators from Bloch space to \(H^{\infty}\) on the unit ball. (English) Zbl 1259.47029

Summary: In this paper, we study the boundness and compactness of differences of weighted composition operators from the Bloch space \(\mathcal B\) to the space \(H^{\infty}\) of bounded analytic functions on the open unit ball of \(\mathbb C^{n}\). Moreover, we estimate the norm and the essential norm of differences of composition operators from \(\mathcal B\) to \(H^{\infty}\).

MSC:

47B33 Linear composition operators
46E15 Banach spaces of continuous, differentiable or analytic functions
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
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