Song, Xiao-Jun; Zhou, Ze-Hua Differences of weighted composition operators from Bloch space to \(H^{\infty}\) on the unit ball. (English) Zbl 1259.47029 J. Math. Anal. Appl. 401, No. 1, 447-457 (2013). 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 \(H^{\infty}\). Cited in 9 Documents 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)) Keywords:weighted composition operator; Bloch space; \(H^{\infty}\); difference essential norm PDFBibTeX XMLCite \textit{X.-J. Song} and \textit{Z.-H. Zhou}, J. Math. Anal. Appl. 401, No. 1, 447--457 (2013; Zbl 1259.47029) Full Text: DOI