The Boundedness and HU-Stabilities for Some Weighted Operators

Vahid Keshavarz, Zohreh Kefayati and Thabet Abdeljawad ()
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Vahid Keshavarz: Yasouj University, Department of Mathematics, College of Sciences
Zohreh Kefayati: Yasouj University, Department of Mathematics, College of Sciences
Thabet Abdeljawad: Prince Sultan University, Department of Mathematics and Sciences

A chapter in Functional Equations and Ulam’s Problem, 2026, pp 267-281 from Springer

Abstract: Abstract In this paper, we introduce the concept of some weighted operators T λ , φ $$T_{\lambda ,\varphi }$$ and T λ , ω $$T_{\lambda ,\omega }$$ on weighted Hardy spaces H β 2 $$H^2_\beta $$ . After that we investigate the boundedness of those operators on H β 2 $$H^2_\beta $$ . Finally, we investigate the Hyers-Ulam stability for weighted backward shift operator on H β 2 $$H^2_\beta $$ and by using example, we show that it stable or not stable in which conditions.

Keywords: HU-stability; Weighted backward shift operator; Weighted Hardy spaces; Reproducing kernel Hilbert space; 34K20; 26D10 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-08949-6_12

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DOI: 10.1007/978-3-032-08949-6_12

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