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

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.

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Journal
Axioms
Published
2025-05-04
DOI
https://doi.org/10.3390/axioms14050352
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Rabab Alyusof, Nacir Hmidouch, Shams Alyusof
1 links
Axioms
Differential Equations and Boundary Problems
article

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

Rabab Alyusof, Nacir Hmidouch, Shams Alyusof
article en

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.

AxiomsVol. 14(5)
Talladega College (US), Imam Mohammad ibn Saud Islamic University (SA), King Saud University (SA)
Al-Imam Muhammad Ibn Saud Islamic University
Openalex Percentile: Top 86%
Differential Equations and Boundary Problems
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