Essential Norm of t-Generalized Composition Operators from F(p, q, s) to Iterated Weighted-Type Banach Space

In this work, we characterize the boundedness of t-generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. We also provide estimates of the norm and the essential norm of t-generalized composition operators from F(p, q, s) spaces to iterated weighted-type Ban...

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Bibliographic Details
Published in:Mathematics (Basel) 2024-05, Vol.12 (9), p.1320
Main Authors: Alyusof, Shams, Hmidouch, Nacir
Format: Article
Language:English
Subjects:
Approximation
Banach spaces
Composition
essential norm
F(p, q, s)
iterated weighted-type Banach space
Numerical analysis
Operators (mathematics)
t-generalized composition operators
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Summary:In this work, we characterize the boundedness of t-generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. We also provide estimates of the norm and the essential norm of t-generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. As corollaries, we obtain approximations of the essential norm of integral operators and generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. Moreover, we conclude our work by discussing the t-generalized composition operators and the special cases of F(p, q, s).
ISSN:2227-7390
2227-7390
DOI:10.3390/math12091320