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Multivalent functions andQKspaces
International Journal of Mathematics and Mathematical Sciences
We give a criterion forq-valent analytic functions in the unit disk to belong toQK, a Möbius-invariant space of functions analytic in the unit disk in the plane for a nondecreasing functionK:[0,∞)→[0,∞), and we show by an example that our condition is sharp. As corollaries, classical results on univalent functions, the Bloch space, BMOA, andQpspaces are obtained.doi:10.1155/s0161171204401124 fatcat:tkpf7eonmrej5hd53n6flbpluq