Research Papers

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    COMPOSITION-DIFFERENTIATION OPERATOR ON THE BERGMAN SPACE
    (Pan-American Journal of Mathematics, 2023) K.O.ALOO; J.O.BONYO; ANDI.OKELLO
    We investigate the properties of composition-differentiation operator D on the Bergman space of the unit disk L2 a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of D whenever is self analytic map of the unit disk D
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    COMPOSITION-DIFFERENTIATION OPERATOR ON THE BERGMAN SPACE
    (Pan-American Journal of Mathematics, 2023) K. O. ALOO1; J. O. BONYO2; I. OKELLO1
    We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2 a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we determine the adjoint properties of Dψ whenever ψ is self analytic map of the unit disk D.