Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces

Autor:	Charu Sharma, Syed Abdul Mohiuddine, Kuldip Raj, Ali H. Alkhaldi
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Banach space Lorentz sequence space Garling sequence space Orlicz function Subsymmetric bases Symmetric bases Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-13 (2018)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-018-1621-2
Popis:	Abstract We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator. We show that the Orlicz-Garling sequence space admits a unique 1-subsymmetric basis and a 1-dominated block basic sequence in g(M,Δ(m),v,p) $g(\mathcal{M},\Delta^{(m)}, v, p)$. We also make an effort to prove that every symmetric normalized block Orlicz-Garling sequence dominates an Orlicz-Lorentz sequence. Finally, we study some geometric properties of these spaces and establish some inclusion relations between spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9e56cc0392324facbc818f112aef5dd0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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