Gümüşhane ÜniversitesiGümüşhane ÜniversitesiAçık Erişim Arşivi · RDL Open

Continuity of superposition operators on the double sequence spaces Lp

MakaleAçık Erişim

Özet

In this paper, we define the superposition operator Pg where g : N2 * R → R by Pg ((xks)) =g (k; s; xks) for all real double sequence (xks). Chew & Lee [4] and Petranuarat & Kemprasit [7] have characterized Pg : lp → l1 and Pg : lp → lq where 1 ≤ p; q < ∞, respectively. The main goal of this paper is to construct the necessary and sucient conditions for the continuity of Pg : Lp → L1 and Pg : Lp → Lq where 1 _ p; q < ∞.

Anahtar Kelimeler

ContinuityDouble sequence spacesPringsheim’s convergentSuperposition operators
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15469Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.2298/fil1509107sYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorSağır, Birsen
dc.contributor.authorGüngör, Nihan
dc.date.accessioned2026-10-22T10:24:03.477022981Z
dc.date.available2026-10-22T10:24:03.477022981Z
dc.date.issued2015
dc.description.abstractIn this paper, we define the superposition operator Pg where g : N2 * R → R by Pg ((xks)) =g (k; s; xks) for all real double sequence (xks). Chew & Lee [4] and Petranuarat & Kemprasit [7] have characterized Pg : lp → l1 and Pg : lp → lq where 1 ≤ p; q < ∞, respectively. The main goal of this paper is to construct the necessary and sucient conditions for the continuity of Pg : Lp → L1 and Pg : Lp → Lq where 1 _ p; q < ∞.
dc.identifier.doi10.2298/fil1509107s
dc.identifier.endpage2118
dc.identifier.issn0354-5180
dc.identifier.issue9
dc.identifier.scopus2-s2.0-84949430466
dc.identifier.startpage2107
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15469
dc.identifier.volume29
dc.identifier.wosWOS:000366736100019
dc.language.isoen
dc.publisherUniversity of Nis
dc.relation.ispartofFilomat
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectContinuity
dc.subjectDouble sequence spaces
dc.subjectPringsheim’s convergent
dc.subjectSuperposition operators
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.titleContinuity of superposition operators on the double sequence spaces Lp
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex4
rdl.citation.scopus3
rdl.citation.wos4
rdl.oa.statushybrid
rdl.oa.urlhttp://www.doiserbia.nb.rs/ft.aspx?id=0354-51801509107S
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)