[1]熊鹏,郑雄军.一类Calderón-Zygmund型算子的交换子加权不等式[J].江西师范大学学报(自然科学版),2013,(02):187-190.
 XIONG Peng,ZHENG Xiong-jun.Weighted Inequalities for the Commutator of Calderón-Zygmund Type Operator[J].,2013,(02):187-190.
点击复制

一类Calderón-Zygmund型算子的交换子加权不等式()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年02期
页码:
187-190
栏目:
出版日期:
2013-03-01

文章信息/Info

Title:
Weighted Inequalities for the Commutator of Calderón-Zygmund Type Operator
作者:
熊鹏;郑雄军
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
XIONG Peng;ZHENG Xiong-jun
关键词:
交换子加权BMO函数Calderón-Zygmund型
Keywords:
commutatorsweighted BMO functionCalderón-Zygmund type
分类号:
O174.2
文献标志码:
A
摘要:
利用交换子理论研究了当b∈BMO(μ),μ∈A1(Rn)时,由b和T生成的交换子[b,T]的性质,通过建立交换子[b,T的sharp极大函数的点态不等式,证明了上述交换子是LP(μ)到LP(μ1-P)上的有界算子.
Abstract:
By the commutators theory,the properties of commutator [b,T] when b in BMO(μ)and μ in A1(R) are studied.Through eastablishing a pointwise inequality of sharp maximal function for the commutator,it is proved that the commutator is bounded form L(μ) to L(μ) to

参考文献/References:

[1] Coifman R R,Rochberg R,Weiss G.Factorization theorems for Hardy space in several variables [J].Ann of Math,1976,103(3):611-635.
[2] Janson S.Mean oscillation and commutators of singular integral operators [J].Ark Mat,1978,16(1/2):263-270.
[3] Perez C.Endpoint estimates for commutators of singular integral operators [J].J Funct Anal,1995,128(1):163-185.
[4] Paluszynski M.Characterization of the Besv spaces via the commutator operator of Coifman,Rochberg and Weiss [J].Indiana Univ Math J,1995,44(1):1-17.
[5] 胡伶俐,陈冬香.Bochner-Riesz算子及其交换子在Morrey型空间的有界性 [J].江西师范大学学报:自然科学版,2010,34(4):414-416.
[6] 曾志强,陈冬香.具有H(m)-型核的奇异积分算子交换子的双权Lipschitz估计 [J].江西师范大学学报:自然科学版,2011,35(6):601-604.
[7] 李亚楠,陈冬香.Bochner-Riesz算子的极大交换子的双权Lipschitz估计 [J].高校应用数学学报:A辑,2012,27(1):96-103.
[8] Hu Bei,Gu Jiajun.Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz functions [J].J Math Anal Appl,2008,340(1):598-605.
[9] Chang Derchen,Li Junfeng,Xiao Jie.Weighted scale estimates for Calderón-Zygmund type operators [J].Contemporary Math,2007,445(1):61-70.
[10] 林燕.Calderón-Zygmund 型算子及其交换子的 sharp 极大函数估计 [J].数学物理学报,2011,31A(1):206-215.
[11] Garcia-Cuerva J.Weighted H space [J].Dissertations Math,1979,162(1):1-63.

备注/Memo

备注/Memo:
江西省自然科学基金(2009GZS0011,20122BAB201008);江西省教育厅科研计划课题(GJJ08169)
更新日期/Last Update: 1900-01-01