Isometries on products of composition and integral operators on Bloch type space.

Li, Geng-Lei; Zhou, Ze-Hua

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Let $ϕ$ and $ψ$ be holomorphic self-maps of the unit disk, and denote by $C_{ϕ}$ , $C_{ψ}$ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_{ϕ} - C_{ψ}$ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.

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