For a nondecreasing function K : [0, 8 )?[0, 8 ) and 0 < p < 8 , −2 < q < 8 , we introduce Q K ( p , q ), a Q K type space of functions analytic in the unit disk and study the characterizations of Q K ( p , q ). Necessary and sufficient conditions on K such that Q K ( p , q ) become some known spaces are given.
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Wulan et al. (2006) studied this question.