The molecular characterization of the Hardy space on non-homogeneous metric measure spaces and its application

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• 作者：Xing Fu ; Dachun Yang ; Dongyong Yang
• 关键词：Non-homogeneous metric measure space ; Hardy space ; Atom ; Molecule ; Calderó ; n&ndash ; Zygmund operator ; RBMO(¦Ì)RBMO(¦Ì)
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2014
• 出版时间：15 February, 2014
• 年：2014
• 卷：410
• 期：2
• 页码：1028-1042
• 全文大小：371 K

文摘

Let be a non-homogeneous metric measure space, which means that is a metric measure space satisfying both the geometrically doubling and the upper doubling conditions. In this paper, the authors introduce the atomic Hardy space via the discrete coefficient for and balls of . Then, the authors establish the corresponding molecular characterization of via a constructive way. As an application, the authors obtain the boundedness of Calder¨®n-Zygmund operators on . Moreover, the authors give a sufficient condition to guarantee that coincides with the existing atomic Hardy space .