The essential norm of a composition operator mapping into Qk type spaces

An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition.

Bibliographic Details
Main Authors: Marko Kotilainen, Jouni Rättyä
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2008/428910