The Boundedness and HU-Stabilities for Some Weighted Operators
in: Functional Equations and Ulam’s Problem, Springer Nature, pp.267-281, 2026
- Publication Type: Book Chapter / Chapter Research Book
- Publication Date: 2026
- Doi Number: 10.1007/978-3-032-08949-6_12
- Publisher: Springer Nature
- Page Numbers: pp.267-281
- Keywords: HU-stability, Reproducing kernel Hilbert space, Weighted backward shift operator, Weighted Hardy spaces
- Istanbul Gelisim University Affiliated: Yes
Abstract
In this paper, we introduce the concept of some weighted operators Tλ,φ and Tλ,ω on weighted Hardy spaces Hβ2. After that we investigate the boundedness of those operators on Hβ2. Finally, we investigate the Hyers-Ulam stability for weighted backward shift operator on Hβ2 and by using example, we show that it stable or not stable in which conditions.