Abstract Cesàro Spaces. Optimal Range

被引：0
作者：
Karol Leśnik
Lech Maligranda
机构：
[1] Poznań University of Technology,Institute of Mathematics, Faculty of Electrical Engineering
[2] Luleå University of Technology,Department of Engineering Sciences and Mathematics
来源：
Integral Equations and Operator Theory | 2015年 / 81卷
关键词：
Cesàro function spaces; Cesàro operator; maximal operator; Banach ideal spaces; symmetric spaces; optimal domain; optimal range; 46E30; 46B20; 46B42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Abstract Cesàro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on [0, ∞) and on [0, 1], as we can see in Theorem 1. Moreover, we present an improvement of Hardy’s inequality on [0, 1] which plays an important role in these considerations.
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页码：227 / 235
页数：8
相关论文
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