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1.In this paper, the Galerkin approach is used to solve the hyper singular integral equation associated with the double layer solution of the Neumann problem of Laplace equation, the variational formulation with hyper singular integral kernel is changed into a weak one with boundary rotation.
本文把Laplace方程的Neumann问题,转化为含超强奇异性的边界积分方程,并将其转换为求解Galerkin变分方程。 针对超强奇异积分的计算,运用分步积分,详细地推导了基于边界旋度的变分公式及边界旋度的表达式。收藏指正
2.L￣P -Boundedness for Singular Integral Operators with Rough Kernel on Product Domains
乘积域上粗糙核奇异积分算子的L~p有界性收藏指正
3.Weighted L~p-boundedness of Multilinear Oscillatory Singular Integrals with Calderón-Zygmund Kernel
关于Calderón-Zygmund核的多线性振荡奇异积分算子的加权L~p-有界性(英文)收藏指正
4.Boundedness of Commutators of BMO and Calderon-Zygmund Singular Integral Operators with Weak Kernel
BMO与弱核条件下的Calderón-Zygmund算子交换子的有界性收藏指正
5.In this note, the well-known Bertrand-Poincare formula for changing order of integration related to singular intergrals with Cauchy kernel has been extended to some cases related to singular integrals of high order.
本文把关于Cauchy核奇异积分的Bertrand-Poincar换序公式推广到高阶奇异积分的情况。收藏指正
6.Weighted Continuity for Multilinear Singular Integral Operator with Variable Calderón-Zygmund Kernel
带可变Calderón-Zygmund核的多线性奇异积分算子的加权连续性收藏指正
7.In this paper, weighted L p-boundedness is obtained for a class of multilinear oscillatory singular integrals with Calderón-Zygmund kernel.
本文研究了关于Calder??＿Zygmund标准核的多线性振荡奇异积分算子 ,证明了这类算子加权Lp_有界性收藏指正
8.Let T_Ω be the singular integral with homogeneous kernel, and Ω and T~(b,m)_Ω be the commutators generated by T_Ω and a BMO function b. The boundedness properties of T~(b,m)_Ω on a kind of atomic Hardy spaces and Herz-type Hardy spaces are established, under some assumptions such as the Dini-condition.
设TΩ是具有齐性核的奇异积分算子,Tb,mΩ是它与BMO函数b生成的交换子,当核函数Ω满足Dini-条件时,证明了它在一类原子Hardy空间和Herz型原子Hardy空间上的有界性.收藏指正
9.According to the idea of complex analysis in several variables,the Poincare′-Bertrand trans formation formula of the singular integral with exchange factor kernel on characteristic manifold in Clifford analysis was considered. Using this formula,the singular integral equation with exchange factor kernel on characteristic manifold was discussed. At last, the solvability of the equation under certain conditions were gotten.
借助多元复分析的思想，首先研究实Clifford分析中于特征流形上具有交换因子核的奇异积分的Poincare′?Bretrand置换公式．再利用这个公式研究特征流形上具有交换因子核的奇异积分方程．在一定条件下得到了该积分方程的可解性．收藏指正
10.The commutators [b, T] to be considered in this paper are composed of singular integral operators with Dini-type kernel defined as above and BMO functions.
本文考虑上述核具Dini型条件的奇异积分算子T与BMO函数构成的交换子[b,T]的端点估计,证明了交换子[b,T]满足L(log L)型不等式:收藏指正
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