具有粗糙核的Marcinkiewicz积分交换子在齐型Herz-Morrey空间上的有界性(英文)
Boundedness of Marcinkiewicz Integral Commutator with Rough Kernels on Homogeneous Herz-Morrey Spaces
摘要
建立了一类具有粗糙核的Marcinkiewicz积分交换子在齐型Herz-Morrey空间上的有界性.
The boundedness on Herz-Morrey spaces is established for a class of Mareinkiewicz integral commutators generated by BMO （ R^n ） function and Marcinkiewicz integrals with rough kernels.
出处
《新疆大学学报（自然科学版）》
CAS
2008年第2期156-161,共6页
Journal of Xinjiang University(Natural Science Edition)
基金
Project supported by NSFC(10261007)
参考文献7
-
1Stein E M. On the function of Littlewood-paley,Lusin and Marcinkiewicz[J]. Trans Amer Math, 1958,88:430-466.
-
2Torchinsky A, Wang S L. A note on the Marcinkiewicz integrals[J]. Colloq Math, 1990,60: 235-243.
-
3Ding Y, Lu S Z, Yabuta K. On comμtators of Marcinkiewicz integrals with rough kernel[J]. Math Appl, 2000, (1): 66-69.
-
4Lu S Z, Tang L, Yang D C. Boundedness of comμtator on homogeneous Herz spaces[J]. Science in China (SerA), 1998,41 : 1023-1033.
-
5Muckenhoupt B, Wheeden R L. Weighted norm inequalities for singular and fractional integrals[J]. Trans Amer Math Soc J, 1971,161:249-261.
-
6Stein E M. Harmonic Analysis[M]. Princeton, N. J. Princeton Univ,Press,1993.
-
7Jiang Y S, Zhao X Q. Boundedness of Sublinear Operator on Herz Spaces on Space of Homogeneous type[J]. Journal of Xinjiang University(Natural Science Edition), 2006,23(2) : 127-136.
