数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
Acta Mathematica Scientia
2003年
4期
531-543
,共13页
Complex manifold%local q-concave wedge%Koppelman-Leray-Norguet for-mula%weight factor
A weighted Koppelman-Leray-Norguet formula of (r, s) differential forms ona local q-concave wedge in a complex manifold is obtained. By constructing the newweighted kernels, the authors give a new weighted Koppelman-Leray-Norguet formula with-out 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 wedgewith a non-smooth boundary, so one can avoid complex estimates of boundary integralsand 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 theinterpolation of functions.
