Document Type : Original Article

Author

• Massoud Salehi Sarvestani

Department of mathematics, Savadkoh Branch, Islamic Azad university, Savadkoh, Iran.

Abstract

For a bounded analytic map ψ on the unit disk D and analytic self-map  φ of D, a weighted composition operator C_ψ,φ on the Hardy space H²=H²(D) is defined by  C_ψ,φf= ψ·f°φ. In this paper, we study the asymptotically Toeplitzness of weighted composition operators and their adjoints in different topology on B(H²).

Keywords

• Hardy space
• asymptotically Toeplitz operator
• weighted composition operator