2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball

Abstract

There are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully characterize the complex symmetry of the difference of such operators on the space.

Keywords

• weighted Bergman space
• weighted composition operator
• difference of weighted composition operators
• 2-complex symmetric operator
• reproducing kernel