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齐型空间上的弱Morrey-Herz空间中一类次线性算子交换子的有界性 被引量：3

BOUNDEDNESS OF COMMUTATORS FOR A CLASS OF SUBLINEAR OPERATORS IN WEAK MORREY-HERZ SPACES ON HOMOGENEOUS SPACES
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摘要 本文研究了一类次线性算子T和BMO(X)函数b生成的交换子[b,T]的有界性质.利用函数分解方法,获得了[b,T]在WMK˙pα,,qλ(X)上的有界性结果. In this article, we study boundedness of commutators [b,T] generated by a class of sublinear operators T and BMO（X） function b. By using the methods of function composition and the real variable techniques, the boundedness of commutators [b,T] is established on WM K˙pα,,qλ （X）.
作者 陶双平 曹薇
机构地区 西北师范大学数学与信息科学学院
出处 《数学杂志》 CSCD 北大核心 2011年第1期115-122,共8页 Journal of Mathematics
基金 国家自然科学基金项目(10671158) 甘肃省教育厅导师基金资助项目(0701-15)
关键词 交换子 弱Morrey-Herz空间 齐型空间 commutator weak Morrey-Herz space space of homogeneous type
分类号 O174.2 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献17

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共引文献11

同被引文献24

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  • 10Paluszynski M. Characterization of the Besov spaces via the commutator operator of Coifman, Rochbeg and Weiss[J]. Indiana Univ. Math., 1995, 44(1): 1-18.

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数学杂志
2011年 第1期

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