[1]谢显华,马丽.一类特殊粗糙核算子的有界性[J].江西师范大学学报(自然科学版),2013,(06):624-627.
　XIE Xian-hua,MA Li.Lar(Rn) Boundedness of a Special Rough Singular Operator[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(06):624-627.
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一类特殊粗糙核算子的有界性()
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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:
2013年06期
页码:
624-627
栏目:
出版日期:
2013-12-31

文章信息/Info

Title:
Lar(Rn) Boundedness of a Special Rough Singular Operator
作者:
谢显华;马丽
赣南师范学院数学与计算机科学学院,江西赣州,341000
Author(s):
XIE Xian-hua；MA Li
关键词:
Littlewood-Paley理论; 粗糙核; Fourier变换估计; 算子插值理论
Keywords:
Littlewood-Paley theory; rough kernel; Fourier transform estimate; operator interpolation theory
分类号:
O177.6
文献标志码:
A
摘要:
主要研究一类特殊粗糙核奇异积分算子TΩα.bf(x)=p.V ∫Rn b(｜y｜)Ω(y') ｜y｜-n-αf(x-y)dy,当b∈△γ(γ≥2),α≥0,且Ω(y')∈L1(Sn1)时的Lap(Rn)有界性,该积分条件较前人提出的条件弱,从而推广了前人的结论.
Abstract:
It is to study the boundedness of a class of special rough singular operators under the conditions of b∈Δγ(γ≥2)and Ω(y')∈L(S),which improves predecessors' conclusion.The operators is as follows: TΩ,α,bf(x)=P.V∫Rb(|y|)Ω(y')|y|f(x-y)dy.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11361004)；江西省自然科学基金(2012BAB201014)；江西省科技计划(GJJ13659)
更新日期/Last Update: 1900-01-01