Boundedness of singular integral operators with variable kernels
文献类型：期刊论文
| 作者 | Lee, Ming-Yi1; Lin, Chin-Cheng1; Lin, Ying-Chieh1; Yan, Dunyan2 |
| 刊名 | Journal of mathematical analysis and applications
 |
| 出版日期 | 2008-12-15 |
| 卷号 | 348期号:2页码:787-796 |
| ISSN号 | 0022-247X |
| 关键词 | A(p) weights L-q-dini condition L-q-hormander condition Singular integral operators Variable kernel |
| DOI | 10.1016/j.jmaa.2008.07.078 |
| 通讯作者 | Lin, chin-cheng(clin@math.ncu.edu.tw) |
| 英文摘要 | Let k be a generalized calderon-zygmund kernel defined on r-n x (r-n\{0}). the singular integral operator with variable kernel given by tf(x) = p.v. integral(n)(r) k(x, x - y)f(y)dy is studied. we show that if the kernel k(x. y) satisfies the l-q-hormander condition with respect to x and y variables, respectively, then t is bounded on l-w(p). if we add an extra dini type condition on k, then we may show the h-w(p) - l-w(p) boundedness of t. (c) 2008 elsevier inc. all rights reserved. |
| WOS关键词 | HARDY-SPACES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000259588700019 |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2387736 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Lin, Chin-Cheng |
| 作者单位 | 1.Natl Cent Univ, Dept Math, Chungli 320, Taiwan 2.Chinese Acad Sci, Sch Informat Sci & Engn, Grad Univ, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lee, Ming-Yi,Lin, Chin-Cheng,Lin, Ying-Chieh,et al. Boundedness of singular integral operators with variable kernels[J]. Journal of mathematical analysis and applications,2008,348(2):787-796. |
| APA | Lee, Ming-Yi,Lin, Chin-Cheng,Lin, Ying-Chieh,&Yan, Dunyan.(2008).Boundedness of singular integral operators with variable kernels.Journal of mathematical analysis and applications,348(2),787-796. |
| MLA | Lee, Ming-Yi,et al."Boundedness of singular integral operators with variable kernels".Journal of mathematical analysis and applications 348.2(2008):787-796. |
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来源：中国科学院大学
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