Abstract Cesàro Spaces. Optimal Range

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• 作者：Karol Le?nik ; Lech Maligranda
• 关键词：46E30 ; 46B20 ; 46B42 ; Cesàro function spaces ; Cesàro operator ; maximal operator ; Banach ideal spaces ; symmetric spaces ; optimal domain ; optimal range
• 刊名：Integral Equations and Operator Theory
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：81
• 期：2
• 页码：227-235
• 全文大小：231 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8989

文摘

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.