February 2019
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155 Reads
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4 Citations
This research is concerned with second-order linear differential equation f ′ ′ + A ( z ) f = 0 , where A ( z ) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α -Bloch (little α -Bloch) space are found by using exponential type weighted Bergman reproducing kernel formula. On the other hand, we find also some sufficient conditions for the solutions to be in analytic Morrey (little analytic Morrey) space by using the representation formula.