Compact differences of weighted composition operators

Differences of weighted composition operators

We consider differences of weighted composition operators between given weighted Bergman spaces H∞ v of infinite order and characterize boundedness and the essential norm of these differences.

Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces

Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.

Compact differences of weighted composition operators on the weighted Bergman spaces

In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse's results in (J. Funct. Anal. 219:70-92, 2005).

Compact Weighted Composition Operators and Multiplication Operators between Hardy 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...