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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
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume23Issue:4Pages:531-543
AbstractA 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.
Keywordcomplex manifold local q-concave wedge Koppelman-Leray-Norguet formula weight factor
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000188826900013
PublisherKLUWER ACADEMIC PUBL
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19068
Collection中国科学院数学与系统科学研究院
Affiliation1.Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China
2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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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