Skip to content
Research Article Open access CC BY 4.0

On Products of Composition and Differentiation Operators

Salih Yousuf Mohamed Salih, Shawgy Hussein

Journal of Advances in Mathematics and Computer Science · pp. 41–51 · Published 21 Dec 2022

10.9734/jamcs/2022/v37i121727

Abstract

In this paper we consider products of composition and differentiation operators on the Hardy spaces. We provide a complete characterization of boundedness and compactness of these operators. M. Moradi and M. Fatehi [1] obtain the explicit condition for these operators to be Hilbert-Schmidt operators. We have a theoretical application on the composition operators with series of perfect symbols.

Boundedness composition operator compactness differentiation operators

References (9)

  1. 1 Real and Complex Analysis. [DOI]
  2. 2 Composition Followed by Differentiation between Bergman and Hardy Spaces [DOI]
  3. 3 Products of composition and differentiation operators on the weighted Bergman space [DOI]
  4. 4 Products of composition and differentiation between Hardy spaces [DOI]
  5. 5 Composition–differentiation operators on the Hardy space [DOI]
  6. 6 Normality and Self-Adjointness of Weighted Composition–Differentiation Operators [DOI]
  7. 7 The four-state problem and convex integration for linear differential operators [DOI]
  8. 8 On Products of Composition and Differentiation Operators [DOI]
  9. 9 Composition Operators on Spaces of Analytic Functions [DOI]

Cited by 2

On Products of Composition and Differentiation Operators

Salih Yousuf Mohamed Salih, Shawgy Hussein · Journal of Advances in Mathematics and Computer Science · 2022

Showing 1 of 2 known citations — external sources report more than can currently be individually listed.

Article metrics

Real usage data collected on this platform.

20

Page views

0

PDF downloads

3

Outbound clicks

2

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.