TITLE

# Compactness of Composition Operators from the Bloch Space â„¬ to Q K Spaces

AUTHOR(S)
Hasi Wulan
PUB. DATE
December 2005
SOURCE
Acta Mathematica Sinica;Dec2005, Vol. 21 Issue 6, p1415
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Suppose that Ï† is an analytic self-map of the unit disk Î”. We consider compactness of the composition operator C Ï† from the Bloch space â„¬ into the spaces Q K defined by a nonnegative, nondecreasing function K( r) for 0 â‰¤ r < âˆž. Our compactness condition depends only on Ï• which can be considered as a slight improvement of the known results. The compactness of C Ï• from the Dirichlet space $${\fancyscript D}$$ into the spaces Q K is also investigated.
ACCESSION #
19094977

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