Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces

Abstract

Let H(D) be the set of analytic functions on the open unit disk D. For n∈N0:=N∪{0}, define the iterated weighted-type Banach space Vn:=f∈H(D):supz∈D(1−|z|2)|f(n)(z)|∞. In this work, we study the boundedness and the essential norm of products of Volterra-type operators and composition operators on iterated weighted-type Banach spaces.

Keywords

• ?_{<i>μ</i>,<i>n</i>}
• ?_<i>n</i>
• products of volterra-type operators and composition operators
• essential norm