Weighted Koppelman-Leray-Norguet formulas on a local q-concave wedge in a complex manifold

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	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.