Sums of weighted differentiation composition operators from weighted Bergman spaces to weighted Zygmund and Bloch-type spaces

摘要

Let H(D) be the space of analytic functions on the unit disc D and let S(D) denote the set of all analytic self maps of the unit disc D. Let Psi = (psi(j))(j=0)(k) be such that psi(j) is an element of H(D) and phi is an element of S(D). To treat the Stevic-Sharma type operators and the products of composition operators, multiplication operators, differentiation operators in a unified manner, Wang et al. considered the following sum operator: