On the \(A_{\infty }\) conditions for general bases

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• 作者：Javier Duoandikoetxea ; Francisco J. Martín-Reyes…
• 关键词：Weights ; Muckenhoupt bases ; \(A_p\) ; Classes
• 刊名：Mathematische Zeitschrift
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：282
• 期：3-4
• 页码：955-972
• 全文大小：480 KB
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• 作者单位：Javier Duoandikoetxea (1)
  Francisco J. Martín-Reyes (2)
  Sheldy Ombrosi (3)
  
  1. Departamento de Matemáticas, Universidad del País Vasco/Euskal Herriko Unibertsitatea (UPV/EHU), 48080, Bilbao, Spain
  2. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071, Málaga, Spain
  3. Departamento de Matemática, Universidad Nacional del Sur, 8000, Bahía Blanca, Argentina
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1823

文摘

We discuss several characterizations of the \(A_\infty \) class of weights in the setting of general bases. Although they are equivalent for the usual Muckenhoupt weights, we show that they can give rise to different classes of weights for other bases. We also obtain new characterizations for the usual \(A_\infty \) weights.