A Class of Compact Integral-Type Operators on Bloch-Orlicz Type Spaces

Let D be the open unit disk in the complex planeC, H(D) the class of all holomorphic functions onD. An integral-type operator is defined by C_? I_g (f)(z)=_0^(?(z))?〖f^' ()g()d〗, where ? be an analytic self-map of D and gH(D). This note gives a new compactness criterion of integral C_? I_g on Bloch-Orlicz type spaces in terms of the function z^n.