关于强拟凸域上-方程解的Hlder估计

On the Hlder Estimate of Solution of the -equation on a Strictly Pseudoconvex Domain

利用拓广的Bochner Martinelli核和Henkin&Leiterer构造的关于D的Leray映射,研究了Cn中具有C2 光滑边界的强拟凸域D上拓广的Koppelman -Leray公式及 方程解的拓广的积分表示.在得到拓广后的BDf的αH lder估计(0<α<1)和Rw Df的1 /2 -H lder估计的基础上,本文给出了强拟凸域D上-方程解的拓广式的1 /2- H lder估计.

By meams of the extended Bochner-Martinelli kernel and Leray map constructed by Henkin and Leiterer,the authors studied the extended Koppelman-Leray formula and extended integral representation of solution of the -equation on a strictly pseudoconvex domain D with C^2 -boundary in C^n.On the base of the α-Hlder estimate of the extended B_Df and the 1/2-Hlder estimate of the extended R^w_(D)f,the the authors obtained the 1/2-Hlder estimate of the extended solution of the -equation on a strictly pseudoconvex domain D with C^2-boundary.