KMS Of Academy of mathematics and systems sciences, CAS
Weighted Koppelman-Leray-Norguet formulas on a local q-concave wedge in a complex manifold | |
Qiu, CH; Yao, ZY | |
2003-10-01 | |
发表期刊 | ACTA MATHEMATICA SCIENTIA |
ISSN | 0252-9602 |
卷号 | 23期号:4页码:531-543 |
摘要 | A weighted Koppelman-Leray-Norguet formula of (r,s) differential forms on a local q-concave wedge in a complex manifold is obtained. By constructing the new weighted kernels, the authors give a new weighted Koppelman-Leray-Norguet formula without boundary integral of (r, s) differential forms, which is different from the classical one. The new weighted formula is especially suitable for the case of the local q-concave wedge with a non-smooth boundary, so one can avoid complex estimates of boundary integrals and the density of integral may be not defined on the boundary but only in the domain. Moreover, the weighted integral formulas have much freedom in applications such as in the interpolation of functions. |
关键词 | complex manifold local q-concave wedge Koppelman-Leray-Norguet formula weight factor |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000188826900013 |
出版者 | KLUWER ACADEMIC PUBL |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19068 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Qiu, CH |
作者单位 | 1.Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Qiu, CH,Yao, ZY. Weighted Koppelman-Leray-Norguet formulas on a local q-concave wedge in a complex manifold[J]. ACTA MATHEMATICA SCIENTIA,2003,23(4):531-543. |
APA | Qiu, CH,&Yao, ZY.(2003).Weighted Koppelman-Leray-Norguet formulas on a local q-concave wedge in a complex manifold.ACTA MATHEMATICA SCIENTIA,23(4),531-543. |
MLA | Qiu, CH,et al."Weighted Koppelman-Leray-Norguet formulas on a local q-concave wedge in a complex manifold".ACTA MATHEMATICA SCIENTIA 23.4(2003):531-543. |
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