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Keywords = iterated weighted-type Banach space

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14 pages, 280 KiB  
Article
Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces
by Rabab Alyusof, Shams Alyusof and Nacir Hmidouch
Axioms 2025, 14(5), 352; https://doi.org/10.3390/axioms14050352 - 4 May 2025
Viewed by 387
Abstract
Let H(D) be the set of analytic functions on the open unit disk D. For nN0:=N{0}, define the iterated weighted-type Banach space [...] Read more.
Let H(D) be the set of analytic functions on the open unit disk D. For nN0:=N{0}, define the iterated weighted-type Banach space Vn:=fH(D):supzD(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. Full article
13 pages, 285 KiB  
Article
Essential Norm of t-Generalized Composition Operators from F(p, q, s) to Iterated Weighted-Type Banach Space
by Shams Alyusof and Nacir Hmidouch
Mathematics 2024, 12(9), 1320; https://doi.org/10.3390/math12091320 - 26 Apr 2024
Viewed by 883
Abstract
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 [...] Read more.
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). Full article
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