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

Shams Alyusof and Nacir Hmidouch ()
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Shams Alyusof: Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia
Nacir Hmidouch: Department of Mathematical Sciences, Talladega College, Talladega, AL 35160, USA

Mathematics, 2024, vol. 12, issue 9, 1-13

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 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 ) .

Keywords: F ( p , q , s ); iterated weighted-type Banach space; t -generalized composition operators; essential norm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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