This is a translation from [J. Wuhan Univ., Nat. Sci. Ed. 50, No. 1, 1–5 (2004; Zbl 1114.47305)].
Summary: This paper is concerned with composition operators on area-type Nevanlinna classes . We give some sufficient and necessary conditions, by constructing the Carleson inequality on , for the composition operator to be bounded or compact. In addition, we also characterize the inducing maps which induce invertible or Fredholm composition operators on .