加权齐次簇II的显式d-杆积分公式：高次形式
An explicit d-bar-integration formula for weighted homogeneous varieties II: forms of higher degree
摘要：
设Y是C^n的加权齐（奇异）子簇。本文的主要目的是给出求解Y的正则部分上的d-杆方程$ω=\dbarλ$的一类显式积分公式，其中$ω$是具有紧支集且次数q>=1的d-杆闭（0，q）-形式.这些公式的特殊情况下产生L^p-有界解算子$1<=p<=\infty$，如果Y是一个齐次和纯维子簇的任意奇异轨迹。
英文摘要：
Let Y be a weighted homogeneous (singular) subvariety of C^n. The main objective of this paper is to present a class of explicit integral formulae for solving the d-bar-equation $ω=\dbarλ$ on the regular part of Y, where $ω$ is a d-bar-closed (0,q)-form with compact support and degree q>=1. Particular cases of these formulae yield L^p-bounded solution operators for $1<=p<=\infty$ if Y is a homogeneous and pure dimensional subvariety with an arbitrary singular locus.
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