Vector-Valued John–Nirenberg Inequalities and Vector-Valued Mean Oscillations Characterization of BMO

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• 作者：Kwok-Pun Ho
• 刊名：Results in Mathematics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：70
• 期：1-2
• 页码：257-270
• 全文大小：532 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-9012
• 卷排序：70

文摘

We establish a vector-valued John–Nirenberg inequality for oscillations measured in a Banach function space (B.f.s.) norm. This inequality generalizes several existing results on John–Nirenberg inequalities on function spaces such as rearrangement-invariant B.f.s. and Lebesgue spaces with variable exponents. Moreover, this inequality also offers a new characterization of BMO in terms of the weighted vector-valued mean oscillation.Mathematical Subject Classification42B3546E3042B25