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Integration Operators on Bergman Spaces with exponential weight

Integration Operators on Bergman Spaces with exponential weight

We study operators of the form T_{g}f\left( z\right) =\int\nolimits_{0}^{z}f\left( \xi \right) \,g^{\prime }\left( \xi \right) \,d\left( \xi \right) ( g is an analytic function unity disc) on weighted Bergman spaces L_{a}^{p}\left( w\right) of the unit disc where symbol g is analytic function on the disc. For the case of w(r) …