Interpolation of Morrey-Campanato and related smoothness spaces  

作　　者：YUAN Wen SICKEL Winfried YANG DaChun 

机构地区：[1]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems,Ministry of Education [2]Mathematisches Institut, Friedrich-Schiller-Universitt Jena

出　　处：《Science China Mathematics》2015年第9期1835-1908,共74页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11471042,11171027 and 11361020);the Alexander von Humboldt Foundation;the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120003110003);the Fundamental Research Funds for Central Universities of China(Grant Nos.2013YB60 and 2014KJJCA10)

摘　　要：We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.

关 键 词：Morrey space Campanato space Besov-type space Triebel-Lizorkin-type space real and complex interpolation ±-method of interpolati 

分 类 号：O177[理学—数学]