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On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces
Yuan Wen 1,WINFRIED SICKEL 2,Yang Dachun 1 *
1.School of Mathematical Sciences, Beijing Normal University, Beijing 100875
2.Mathematisches Institut, Friedrich-Schiller-Universit¨at Jena, 07743 Jena, Germany
*Correspondence author
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Funding: Wen Yuan by the Alexander von Humboldt Foundation and the NationalNatural Science Foundation of China(No.Grant No. 11101038), Both Dachun Yang and Wen Yuan are also partially supportedby the Specialized Research Fund for the Doctoral Program of Higher Educationof China (No.Grand No. 20120003110003), Dachun Yang is supported by the NationalNatural Science Foundation of China (No.Grant No. 11171027)
Opened online:24 May 2013
Accepted by: none
Citation: Yuan Wen,WINFRIED SICKEL,Yang Dachun.On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces[OL]. [24 May 2013] http://en.paper.edu.cn/en_releasepaper/content/4544083
 
 
In this paper,we compare the recent approach of Hans Triebelto introduce smoothness spacesrelated to Morrey-Campanato spaceswith Besov type and Triebel-Lizorkin type spaces.These two scales have been introduced some years ago and representa further variant to measure smoothness by using Morrey spaces.
Keywords:Besov space; Triebel-Lizorkin space; Morrey-Campanato space; wavelet; atom
 
 
 

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