A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces | |
Liu, Feng ; Wu, Huoxiong ; Zhang, Daiqing ; Wu HX(伍火熊) ; Zhang DQ(张代清) | |
刊名 | http://dx.doi.org/10.1186/1029-242X-2013-492
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2013 | |
关键词 | L-P BOUNDS OPERATORS TRANSFORM KERNELS |
英文摘要 | NNSF of China [11071200]; NSF of Fujian Province of China [2010J01013]; This paper is concerned with the singular integral operators along polynomial curves. The boundedness for such operators on Triebel-Lizorkin spaces and Besov spaces is established, provided the kernels satisfy rather weak size conditions both on the unit sphere and in the radial direction. Moreover, the corresponding results for the singular integrals associated to the compound curves formed by polynomial with certain smooth functions are also given. |
语种 | 英语 |
出版者 | SPRINGER INTERNATIONAL PUBLISHING AG |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/91210] ![]() |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Liu, Feng,Wu, Huoxiong,Zhang, Daiqing,et al. A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces[J]. http://dx.doi.org/10.1186/1029-242X-2013-492,2013. |
APA | Liu, Feng,Wu, Huoxiong,Zhang, Daiqing,伍火熊,&张代清.(2013).A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces.http://dx.doi.org/10.1186/1029-242X-2013-492. |
MLA | Liu, Feng,et al."A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces".http://dx.doi.org/10.1186/1029-242X-2013-492 (2013). |
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