南通大学学报：自然科学版
南通大學學報：自然科學版
남통대학학보：자연과학판
Journal of Nantong University (Natural Science Edition)
2012年
3期
43-54
,共12页
变量核%Marcinkiewicz积分算子%交换子%加权Morrey-Herz空间
變量覈%Marcinkiewicz積分算子%交換子%加權Morrey-Herz空間
변량핵%Marcinkiewicz적분산자%교환자%가권Morrey-Herz공간
variable kernel%Marcinkiewicz integral%commutator%weighted Morrey-Herzspace
证明了一类带变量核的Mareinkiewicz积分算子μΩ及其与BMO函数生成的交换子μb/Ω在加权Lp空间上的有界性，并在此条件下证明了带变量核的μΩ及μb/Ω在加权Morrey-Herz空间上的有界性，这些结果是一些已知定理的推广．
證明瞭一類帶變量覈的Mareinkiewicz積分算子μΩ及其與BMO函數生成的交換子μb/Ω在加權Lp空間上的有界性，併在此條件下證明瞭帶變量覈的μΩ及μb/Ω在加權Morrey-Herz空間上的有界性，這些結果是一些已知定理的推廣．
증명료일류대변량핵적Mareinkiewicz적분산자μΩ급기여BMO함수생성적교환자μb/Ω재가권Lp공간상적유계성，병재차조건하증명료대변량핵적μΩ급μb/Ω재가권Morrey-Herz공간상적유계성，저사결과시일사이지정리적추엄．
In this paper, the weighted Lp boundedness of Marcinkiewicz integral operators with variable kernels μΩ and their commutators with BMO functions areμb/Ω analyzed;under the same conditions, the boundedness ofμΩ and μb/Ω on weighted Morrey-Herz spaces are obtained. These results are the generalizations of some known theorems for classical Marcinkiewicz integral operators.
