马丽娜. Marcinkiewicz积分高阶交换子在加权Herz型Hardy空间中的有界性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 109(1): 55-59.
马丽娜. Marcinkiewicz积分高阶交换子在加权Herz型Hardy空间中的有界性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 109(1): 55-59.DOI:
the boundedness of Marcinkiewicz integrals with commutators on weighted Herz-Hardy spaces is discussed and its endpoint estimates are also established.
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Stein E M.On the function of Littlewood-Paley,Lusin and Marcinkiewicz[J].Trans Amer Math Soc,1958,88:430-466.
Benedek A,Caldero′n A,Panzone.Convolution operators on Banach space walued functions[J].Proc Nat Acad Sci USA,1962,48:356-365.
Ding Y,Fan D,Pan Y.Lp-boundedness of Marcinkiewicz integrals with Hardy space function kernel[J].Acta Math Sinica(English series),2000,16:593-600.
Torchinsky A,wang S.A note on the Marcinkiewicz integral[J].Collquium Math,1990,60/61:235-243.
Ding Y,Lu S,Yabuta K.On Commutators of Marcinkiewicz integrals with rough kernel[J].Math Appl,2000,(1):66-69.
Lu S Z Lu,Yang D C.The Weighted Herz-type Hardy Spaces and its Applications[J].Sci China Ser A,1995,38(6):662-673.
Ding Y,Lu S Z,Xue Q Y.On Marcinkiewicz integral with homogeneous kernels[J].math Anal,2000,245:471-488.
Stein E M.Harmonomic Analysis[M].Princeton Newjersey:Princeton Univ Press,1993.