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The Boundedness and HU-Stabilities for Some Weighted Operators

In: Functional Equations and Ulam’s Problem

Author

Listed:
  • 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
    Istanbul Gelisim University, Department of Fundamental Sciences, Faculty of Engineering and Architecture)

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.

Suggested Citation

  • Vahid Keshavarz & Zohreh Kefayati & Thabet Abdeljawad, 2026. "The Boundedness and HU-Stabilities for Some Weighted Operators," Springer Books, in: Themistocles M. Rassias (ed.), Functional Equations and Ulam’s Problem, pages 267-281, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-08949-6_12
    DOI: 10.1007/978-3-032-08949-6_12
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