The Boundedness and HU-Stabilities for Some Weighted Operators
Functional Equations and Ulam’s Problem, Springer Nature, ss.267-281, 2026
- Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/978-3-032-08949-6_12
- Yayınevi: Springer Nature
- Sayfa Sayıları: ss.267-281
- Anahtar Kelimeler: HU-stability, Reproducing kernel Hilbert space, Weighted backward shift operator, Weighted Hardy spaces
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
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.