[1]周疆,王定怀.非倍测度下参数型Marcinkiewicz积分多线性交换子的一些估计[J].江西师范大学学报(自然科学版),2014,(02):148-152.
　ZHOU Jiang,WANG Ding-huai.The Boundedness of Higher Order Commutators for the Parametric Marcinkiewicz Integral with Non-Doubling Measures[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(02):148-152.
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非倍测度下参数型Marcinkiewicz积分多线性交换子的一些估计()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年02期
页码:
148-152
栏目:
出版日期:
2014-04-30

文章信息/Info

Title:
The Boundedness of Higher Order Commutators for the Parametric Marcinkiewicz Integral with Non-Doubling Measures
作者:
周疆;王定怀
新疆大学数学与系统科学学院,新疆乌鲁木齐,830046
Author(s):
ZHOU Jiang；WANG Ding-huai
关键词:
非倍测度; 参数型Marcinkiewicz积分; Lipβ(μ)函数; H1(μ)空间
Keywords:
non-doubling measure; parametric Marcinkiewicz integral; Lipβ(μ) function; Hardy space
分类号:
O174.2
文献标志码:
A
摘要:
当假设测试μ满足多项式增长的条件时,得到了参数型Marcinkiewicz积分与Lipβ(μ)函数生成的多线性交换子Mρ-bf(x)具有(Lp(μ),Lp(μ))的有界性,以及在H1(μ)空间的端点估计,从而推广了参数型Marcinkiewicz积分单线性交换子的相关结果.
Abstract:
Under the assumption that μ only satisfies the polynomial growth condition,the (L(μ),L(μ)) boundedness of higher order commutator Mbf(x) generated by the parametric Marcinkiewicz integral and Lipβ(μ) function are estabished.And the boundedness on H(μ) spaces is also obtained,which promote some results on single linear parametric Marcinkiewicz integral commutators.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11261055)；新疆自然科学基金(2011211A005)；新疆大学自然科学基金(BS120104)
更新日期/Last Update: 1900-01-01