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Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces
- Source :
- Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-13 (2018)
- Publication Year :
- 2018
- Publisher :
- SpringerOpen, 2018.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 1029242X
- Volume :
- 2018
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.9e56cc0392324facbc818f112aef5dd0
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13660-018-1621-2