Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633248 | Applied Mathematics and Computation | 2009 | 12 Pages |
Abstract
Motivated by the recent paper [X. Zhu, Products of differentiation composition and multiplication from Bergman type spaces to Bers spaces, Integral Transform. Spec. Funct. 18 (3) (2007) 223–231], we study the boundedness and compactness of the weighted differentiation composition operator Dφ,un(f)(z)=u(z)f(n)(φ(z)), where u is a holomorphic function on the unit disk DD, φ is a holomorphic self-map of DD and n∈N0n∈N0, from the mixed-norm space H(p, q, ϕ), where p,q > 0 and ϕ is normal, to the weighted-type space Hμ∞ or the little weighted-type space Hμ,0∞. For the case of the weighted Bergman space Aαp, p > 1, some bounds for the essential norm of the operator are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stevo Stević,