Toeplitzness of weighted composition operators

Mathematical Analysis and its Contemporary Applications

دوره 2، شماره 1، تیر 2020، صفحه 1-8   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2020.679850

نویسنده

Massoud Salehi Sarvestani^*

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

چکیده

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).

کلیدواژه‌ها

Hardy space؛ asymptotically Toeplitz operator؛ weighted composition operator