BMO BOUNDEDNESS FOR BANACH SPACE VALUED SINGULAR INTEGRALS  

BMO BOUNDEDNESS FOR BANACH SPACE VALUED SINGULAR INTEGRALS

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作  者:Chunjie Zhang 

机构地区:[1]School of ScienceHangzhou Dianzi UniversityHangzhou, 310018P. R. China

出  处:《Analysis in Theory and Applications》2011年第3期278-287,共10页分析理论与应用(英文刊)

基  金:Supported by NSFC (No. 10901043, 10871173, 11026104)

摘  要:In this paper, we consider a class of Banach space valued singular integrals. The Lp boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we get BMO boundedness for the classic g-function and the Marcinkiewicz integral. Some known results are improved.In this paper, we consider a class of Banach space valued singular integrals. The Lp boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we get BMO boundedness for the classic g-function and the Marcinkiewicz integral. Some known results are improved.

关 键 词:BMO Banach space valued singular integral 

分 类 号:O177.2[理学—数学] O177[理学—基础数学]

 

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