Multivalent functions and Q K spaces

Hasi Wulan

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-10

Abstract:

We give a criterion for q -valent analytic functions in the unit disk to belong to Q K , a Möbius-invariant space of functions analytic in the unit disk in the plane for a nondecreasing function K : [ 0 , ∞ ) → [ 0 , ∞ ) , and we show by an example that our condition is sharp. As corollaries, classical results on univalent functions, the Bloch space, BMOA, and Q p spaces are obtained.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:303920

DOI: 10.1155/S0161171204401124

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