Composition Operators on m ( φ , p )

A Note on Weighted Composition Operators on L^p-Spaces

Hyers-Ulam Stability of Weighted Composition Operators on L^p-Spaces

On reducibility of weighted composition operators

In this paper, we study two types of the reducing subspaces for the weighted composition operator $W: frightarrow ucdot fcirc varphi$ on $L^2(Sigma)$. A necessary and sufficient condition is given for $W$ to possess the reducing subspaces of the form $L^2(Sigma_B)$ where $Bin Sigma_{sigma(u)}$. Moreover, we pose some necessary and some sufficient conditions under which the subspaces of the form...

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

and Applied Analysis 3 where dV z is the Lebesgue volume measure on B. Some facts on mixed-norm spaces in various domains in C can be found, for example, in 6–8 see also the references therein . For 0 < p < ∞ the Hardy space H B H consists of all f ∈ H B such that ∥ ∥f ∥ ∥ Hp : sup 0<r<1 (∫ ∂B ∣ ∣f rζ ∣ ∣dσ ζ )1/p < ∞. 1.10 For p 2 the Hardy and the weighted Bergman space are Hilbert. Let φ be ...