Yang, Qi Difference of products of composition operator and integral type operator on \(\alpha \)-Bloch-Orlicz space. (English) Zbl 1438.47068 J. Sichuan Univ., Nat. Sci. Ed. 56, No. 3, 404-412 (2019). Summary: In this paper, we study the difference of the products of a composition operator and an integral type operator \({C_\varphi}{I_g}, {I_g}{C_\varphi}\) acting on the \(\alpha \)-Bloch-Orlicz space \(B_\alpha^\phi\) in the unit disk. By constructing different test functions, we present some necessary and sufficient conditions for the boundedness and compactness of the difference. MSC: 47B38 Linear operators on function spaces (general) 47B33 Linear composition operators 47G10 Integral operators Keywords:difference; composition operator; integral-type operator; \(\alpha \)-Bloch-Orlicz space PDFBibTeX XMLCite \textit{Q. Yang}, J. Sichuan Univ., Nat. Sci. Ed. 56, No. 3, 404--412 (2019; Zbl 1438.47068) Full Text: DOI