Products of integral-type operators and composition operators from Zygmund spaces into Bloch-type spaces

摘要

Composition operators research the equivalent conditions of boundedness and compactness between different function spaces. Bloch-type spaces and Zygmund spaces are very important and familiar spaces for researchers. By constructing specific auxiliary functions, combined with the properties of the two spaces, the bounded and compact products of integral-type operators and composition operators have given the necessary and sufficient conditions from Zygmund spaces into Bloch-type spaces in this paper.