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In this paper, the boundedness and compactness of the difference ofcomposition-differentiation operators $D_\varphi-D_\psi$ acting from Hardyspaces $H^p$ to weighted Bergman spaces $A^q_\alpha$ are completelycharacterize for all $0<p,q<\infty$.

Difference of composition-differentiation operators from Hardy spaces to weighted Bergman spaces via harmonic analysis