Boundedness of Hausdorff operators on some product Hardy type spaces  

作　　者：CHEN Jie-cheng FAN Da-shan ZHANG Chun-jie 

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China [2]Department of Mathematics,University of WisconsimMilwaukee,Milwaukee,WI 53201,USA [3]School of Science,Hangzhou Dianzi University,Hangzhou 310018,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2012年第1期114-126,共13页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(10931001, 10871173 and 11026104)

摘　　要：We study Hausdorff operators on the product Besov space B0,1 1 （Rn ×Rm） and on the local product Hardy space h1 （Rn ×Rm）. We establish some boundedness criteria for Hausdorff operators on these function spaces.We study Hausdorff operators on the product Besov space B0,1 1 （Rn ×Rm） and on the local product Hardy space h1 （Rn ×Rm）. We establish some boundedness criteria for Hausdorff operators on these function spaces.

关 键 词：Hausdorff operator atomic decomposition product Besov space product Hardy space productlocal Hardy space. 

分 类 号：O175.5[理学—数学] O174.2[理学—基础数学]