Difference of composition-differentiation operators from Hardy spaces to weighted Bergman spaces via harmonic analysis (2202.09033v1)

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