Surjective Isometries of Multiplication Operators and Weighted Composition Operators on nth Weighted-Type Banach Spaces of Analytic Functions

Authors

  • Shams Alyusof Al Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.4420232472

Keywords:

isometry, multiplication operators, weighted composition operators, nth Banach spaces of analytic functions

Abstract

This paper is to characterize isometries of multiplication operators and weighted composition operators on the nth weighted-type Banach spaces {Vn : n ∈ N} of analytic functions on the open unit disk of which the Bloch space and the Zygmund space are particular cases at n = 1, 2. We give characterizations of the symbols ψ and φ for which the multiplication operator Mψ and the weighted composition operator Wψ,φ are surjective isometries. Moreover, we show that generalized weighted composition operators are not isometric on Vn.

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Published

2023-12-12

How to Cite

1.
Alyusof S. Surjective Isometries of Multiplication Operators and Weighted Composition Operators on nth Weighted-Type Banach Spaces of Analytic Functions. Contemp. Math. [Internet]. 2023 Dec. 12 [cited 2024 Dec. 5];4(4):1204-9. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2472