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

Abstract

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

25 pages