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Interpolation of Morrey Spaces on MetricMeasure Spaces
Lu Yufeng,Yang Dachun *,Yuan Wen
School of Mathematical Sciences, Beijing Normal University, Beijing 100875
*Correspondence author
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Funding: Dachun Yang is supported by the NationalNatural Science Foundation of China (No.Grant No. 11171027), Both Dachun Yang and Wen Yuan are also partially supportedby the Specialized Research Fund for the Doctoral Program of Higher Education of China (No.Grand No. 20120003110003), Wen Yuan by the Alexander von Humboldt Foundation and the NationalNatural Science Foundation of China (No.Grant No. 11101038)
Opened online:27 February 2013
Accepted by: none
Citation: Lu Yufeng,Yang Dachun,Yuan Wen.Interpolation of Morrey Spaces on MetricMeasure Spaces[OL]. [27 February 2013] http://en.paper.edu.cn/en_releasepaper/content/4521984
In this article, via the classical complex interpolation methodand some interpolation methods traced to Gagliardo,the authors obtain an interpolation theorem forMorrey spaces on quasi-metric measure spaces, which generalizessome known results on Rn.
Keywords:function spaces; complex interpolation; Morrey space; Gagliardo interpolation; Calder'on product; quasi-metric space

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