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| 粗糙核奇异积分交换子在Triebel-Lizorkin空间的有界性 | |
| 引用本文： | 陶双平,牛耀明. 粗糙核奇异积分交换子在Triebel-Lizorkin空间的有界性[J]. 纯粹数学与应用数学, 2010, 26(1): 29-35. DOI: 10.3969/j.issn.1008-5513.2010.01.005 |
| 作者姓名： | 陶双平 牛耀明 |
| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070;西北师范大学数学与信息科学学院,甘肃,兰州,730070;包头师范学院数学科学学院,内蒙古,包头,014300 |
| 基金项目： | 国家自然科学基金(10571014);;甘肃省教育厅导师基金(0701-15) |
| 摘 要： | 应用核的分解，讨论了粗糙核奇异积分算子Tf（x）=p.v.∫R^nΩ（x-y）/｜x-y｜^nf（y）dy和BMO（R^n）函数b生成的交换子[b，T]的有界性．证明了当Ω∈L（logL）^2（S^n-1）时，[b，T]是Triebel—Lizorhn空间Fp^α,q（R^n）上的有界算子． |
| 关 键 词： | 交换子 粗糙核 Triebel-Lizorkin空间 BMO(R~n) |
Boundedness of commutator for rough sigular integrals on Triebel-Lizorkin spaces |
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| TAO Shuang-ping,NIU Yao-ming. Boundedness of commutator for rough sigular integrals on Triebel-Lizorkin spaces[J]. Pure and Applied Mathematics, 2010, 26(1): 29-35. DOI: 10.3969/j.issn.1008-5513.2010.01.005 | |
| Authors: | TAO Shuang-ping NIU Yao-ming |
| Affiliation: | 1;2;1.College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China;2.Department of Mathematics;Baotou Normal College;Baotou 014300;China |
| Abstract: | By using the compositions about the kernel, the boundedness of commutator [b, T] is considered which is generated by a BMO（R^n） function b and the singular integral operators T with rough kernel which is defined by Tf（x）=p.v.∫R^nΩ（x-y）/｜x-y｜^nf（y）dy It is proved that [b, T] is bounded on Triebel-Lizorkin spaces Fp^α,q（R^n） as Ω∈L（logL）^2（S^n-1）. |
| Keywords: | BMO(R~n) commutator rough kernel Triebel-Lizorkin spaces BMO(Rn) |
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