The product-type operators from logarithmic Bloch spaces to Zygmund-type spaces

Abstract

The boundedness and compactness of a product-type operator, recently introduced by S. Stevic, A. Sharma and R. Krishan, Tn?1,?2,?f(z) = ?1(z) f(n)(?(z)) + ?2(z) f(n+1)(?(z)), f ? H(D), from the logarithmic Bloch spaces to Zygmund-type spaces are characterized, where ?1, ?2 ? H(D),? is an analytic self-map of D and n a positive integer.