Geodesic
Essential norm of the difference of composition operators on Bloch space
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1139-1152.

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Let $\varphi $ and $\psi $ be holomorphic self-maps of the unit disk, and denote by $C_\varphi $, $C_\psi $ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_\varphi -C_\psi $ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.
Classification : 32A10, 32A37, 32H05, 47B33, 47B38
Keywords: {\it Bloch} space; composition operator; essential norm; difference; compactness 
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     author = {Yang, Ke-Ben and Zhou, Ze-Hua},
     title = {Essential norm of the difference of composition operators on {Bloch} space},
     journal = {Czechoslovak Mathematical Journal},
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     zbl = {1220.47045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a21/}
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Yang, Ke-Ben; Zhou, Ze-Hua. Essential norm of the difference of composition operators on Bloch space. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1139-1152. http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a21/