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《JOURNAL OF XIAMEN UNIVERSITY(NATURAL SCIENCE)》 2000-01
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A Jump Formula of Differential Forms under Berndtsson transform on Complex Manifolds

HUANG Hong yi (Dept. of Comp. Sci., Xiamen Univ.,Xiamen 361005, China)  
By estimating the koppelman kernel on Complex Manifolds, the difference between the koppelman kernel on complex manifolds and the Bochner Martinelli koppelman on C n was obtained;and then by utilizing the koppelman formula and the result as above, the jump formula of differential forms under Berndtsson transform on Complex manifolds was derived. Moreover, by assuming that the Berndtsson transform was continuous on boundary, the plemelj jump was proved. Using the above formulas and selecting suitably complex mainfolds, one can derive some jump formulas including the jump formula on C n and the jump formula on stein manifolds under B M K transform.
【Fund】: 国家自然科学基金!(19771068)
【CateGory Index】: O174.56
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Zhong Tongde(Dept.of Math.Xiamen University,Xiamen,fujian, 361005);Plemelj Formulas and Its Applications[J];ADVANCES IN MATHEMATICS;1994-03
2 Zhong Tongde (Dept. of Math. );On Jump Formula of Differential Forms under B-M-K Transform on Stein Manifolds[J];Journal of Xiamen University(Natural Science);1993-05
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 Huang Sha (Department of Mathematics, Hebei Teacher's University, Shijiazhuang 050016, China);Poincaré-Bertrand Transformation Formulae of the Singular Integrals in Clifford Analysis[J];ACTA MATHEMATICA SINICA;1998-01
2 LIN Liang yu, QIU Chun hui (Dept. of Math., Xiamen Univ., Xiamen 361005, China);The Transformation Formula of Singular Integral on a Closed Smooth Manifold[J];Journal of Xiamen University(Natural Science);2001-01
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