الفهرس 
On Product-Type Operators between H? and Zygmund SpacesOnly 14 pages are availabe for public view
 |  | from | 128 |  |  |
| | | from | 128 | | |
Abstract
The present thesis deals with the theory of complex function spaces. The main purpose of this thesis is to study some complex and Hyperbolic function spaces. First, we apply certain operators to analytic function spaces. In addition, for product operator T_(Ψ_1,Ψ_2,ϕ), composition operators C_(∅,) generalized composition operator C_ϕ^(h,s) , weighted composition 〖uC〗_∅ operator and superposition operator S_∅ necessary and sufficient conditions are given to be bounded operators in some complex spaces.
Second, we give characterizations for H^∞,Z,Z_β,B_g^((m,n)),B_((g,α))^((m,n)),Q_p,〖B^*〗_(α,log^β ) B_α,B_(log^β)^α spaces. For this class, we obtain boundedness and compactness for some operators on some spaces.