Compactness of Composition Operators from the Bloch Space ℬ to Q K Spaces

Hasi Wulan
December 2005
Acta Mathematica Sinica;Dec2005, Vol. 21 Issue 6, p1415
Academic Journal
Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator C φ from the Bloch space ℬ into the spaces Q K defined by a nonnegative, nondecreasing function K( r) for 0 ≤ r < ∞. Our compactness condition depends only on ϕ which can be considered as a slight improvement of the known results. The compactness of C ϕ from the Dirichlet space $${\fancyscript D}$$ into the spaces Q K is also investigated.


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