منابع مشابه
Comparison of Orlicz–Lorentz Spaces
Orlicz–Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Masty lo, Maligranda, and Kamińska. In this paper, we consider the problem of comparing the Orlicz–Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent. As a corollary, we give necessary and sufficient conditions for a...
متن کاملBoyd Indices of Orlicz–Lorentz Spaces
Orlicz–Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. In this paper, we investigate their Boyd indices. Bounds on the Boyd indices in terms of the Matuszewska–Orlicz indices of the defining functions are given. Also, we give an example to show that the Boyd indices and Zippin indices of an Orlicz–Lorentz space need not be equal, answering a question of Malig...
متن کاملImbeddings between Weighted Orlicz–lorentz Spaces
We establish necessary and sufficient conditions for imbeddings of weighted Orlicz–Lorentz spaces.
متن کاملOrlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces
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 [Formula: see text]. We also make an effort to prove that every symmetric normalized block Orlicz-Garling sequen...
متن کاملOn the uniformly normal structure of Orlicz spaces with Orlicz norm*
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1997
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-67-2-147-168