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The Riesz convergence property on weighted Lorentz spaces and Orlicz-Lorentz spaces

✍ Scribed by Li, Hongliang

Book ID
120368492
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
259 KB
Volume
36
Category
Article
ISSN
1607-3606

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## Abstract Spaces of Lorentz type called Orlicz‐Lorentz spaces are studied. There are given necessary and sufficient conditions for the spaces to be order continuous, separable, __KB__‐spaces and to contain isometric or isomorphic copy of __l__∞ or __c__~0~. Moreover a criterion for strict convexi

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✍ M.J. Carro; J. Soria 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 389 KB

We find a new expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, and obtain as a simple consequence a generalization of the classical embeddings \(L^{r, 1} \subset \cdots \subset L^{p} \subset \cdots \subset L^{p . r}\) and a new definitio