数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (4): 531-.
邱春晖, 姚宗元
QIU Chun-Hui, TAO Zong-Yuan
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 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 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.
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