数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1785-1792.doi: 10.1016/S0252-9602(10)60172-5
陈吕萍, 钟同德
CHEN Lv-Ping, ZHONG Tong-De
摘要:
A theory of a class of higher order singular integral under the operator (Lf)(u)=1/u1[u1 ∂f}/ ∂u1 (u)-u1 ∂f/ ∂u1 (u)+f(u)] is given. We transform the higher order singular integral to a usual Cauchy integral, extend the permutation formula of the higher order singular integral deduced by Qian and Zhong in [4] to a general case, and discuss the regularization problem of the higher order singular integral equations with Cauchy kernel and variable coefficients on complex hypersphere.
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