Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

Zohreh Kefayati, Mohammad Taghi Heydari, Nawab Hussain and Hamed Alsulmi

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability holds. We further discuss the concept of HU stability constants for the operator Ωγj and show how these constants are related to the boundedness of specific sequences. Finally, we solve various examples, some of which are HU-stable and others are not HU-stable.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/5574447.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/5574447.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5574447

DOI: 10.1155/jom/5574447

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().