Abstract
On the one hand, fractional order derivative characterization for functions belonging to the Bergman–Morrey type space A p , K is given. On the other hand, some conditions for coefficients of the following complex linear differential equation: f ( k ) + A k − 1 ( z ) f ( k − 1 ) + ⋯ + A 0 ( z ) f = A k ( z ) are obtained such that all solutions of the above equations in A p , K .
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