Grand quasi Lebesgue spaces

被引：6
|
作者：
Formica, Maria Rosaria [1 ]
Ostrovsky, Eugeny [2 ]
Sirota, Leonid [2 ]
机构：
[1] Univ Napoli Parthenope, Via Gen Parisi 13, I-80132 Naples, Italy
[2] Bar Ilan Univ, Dept Math & Stat, IL-52900 Ramat Can, Israel
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 504卷 / 01期
关键词：
Lebesgue-Riesz spaces; Quasi-Banach spaces; Grand quasi Lebesgue Spaces; Tail function; Contraction principle; Hardy operators; INEQUALITY;
D O I：
10.1016/j.jmaa.2021.125369
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for "small" values of the parameter, and we investigate some its properties, in particular, completeness, fundamental function, operators estimates, Boyd indices, contraction principle, tail behavior, dual space, generalized triangle and quadrilateral constants and inequalities. (c) 2021 Elsevier Inc. All rights reserved.
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页数：21
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