Article ID Journal Published Year Pages File Type
4623075 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract

Suppose that ϕ is a nonconstant analytic self-map of the unit disk D. Compactness of composition operator Cϕ between two Möbius spaces QK1 and QK2 is studied. Moreover, necessary and sufficient condition for Cϕ from the Dirichlet space D to a general class of analytic functions F(p,q,s) to be compact is given in terms of the map ϕ.

Related Topics
Physical Sciences and Engineering Mathematics Analysis