NORMAL WEIGHTED COMPOSITION-DIFFERENTIATION OPERATORS.

Subject Areas : Statistics

Mahbube Moradi ¹ , Mahsa Fatehi ^{2 *}

1 - دانشگاه آزاد شیراز
2 - عضو هیأت علمی، گروه ریاضی، واحد شیراز، دانشگاه آزاد اسلامی، شیراز، ایران

Received: 2021-08-04 Accepted : 2022-05-28 Published : 2024-01-18

Keywords: عملگر ترکیبی, نرمال, عملگر مشتق-ترکیبی وزن دار,

Abstract :

In this paper, we investigate the normal weighted composition-differentiation operators. For φ(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(ψ,φ,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For φ(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(ψ,φ,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For φ(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(ψ,φ,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For φ(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(ψ,φ,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For φ(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(ψ,φ,n). Then we find another class of normal weighted composition-differentiation operators

References:

[1] C. C. Cowen and B. D. MacCluer. Composition operators on spaces of analytic functions. CRC Press, Boca Raton. 1995.

[2] M. Fatehi and C. N. B. Hammond. Composition-differentiation operators on the Hardy space. Proc. Amer. Math. Soc. 148:2893-2900(2020).

[3] M. Fatehi and C. N. B. Hammond.
Normality and self-adjointness of weighted composition-differentiation operators. Complex Anal. Oper. Theory 15:1-13(2021).

[4] S. Ohno. Products of composition and differentiation between Hardy spaces. Bull.
Aust. Math. Soc. 73:235-243(2006).

[5] S. Stevic’. Products of composition and differentiation operators on the weighted Bergman space. Bull. Belg. Math. Soc. Simon Stevin 16:623-635 (2009).