单位球上的经典Gelfand问题的逼近解

获得了单位球上的经典Gelfand问题的一个逼近解的序列，同时给出了相应的收敛速度。这个逼近程序是从零函数开始的，因此该程序是可行和有效的。     

一个SIERPINSKI地毯的HAUSDORFF测度的初等证明

用初等的方法得到了SIERPINSKI地毯的HAUSDORFF测度.     

The modulus of non-differentiability of a Brownian motion in l p

Small ball probability is estimated for a Brownian motion in l _p. As an application we establish the modulus of non-differentiability of a Brownian motion in l _p. This revised version was published online in June 2006 with corrections to the Cover Date.     

Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition

We consider the Cauchy-Neumann problem of the heat equation in the exterior domain of a ball in R^N, and study the movement of hot spots of the solution as t→∞.     

A note on approximation of a ball by polytopes

We study properties of polytopes circumscribed by a unit sphere in Rⁿ with either m extreme points or m facets. We show that if one measures the quality of approximation using the radius of an inscribing sphere then asymptotically the best-possible results are the same for both cases. Somewhat surprisingly, however, the volume can grow substantially faster in m for the case where the polytope has m facets.     

A note on the empty balls left by a critical branching Wiener process

Summary In this note, we partially confirm some conjectures of P. Révész [10] on the critical branching Wiener process.     

C~n中p-Bloch空间β~P(B)和Dirichlet型空间D_q(B)之间的系数乘子

本文利用混合赋范空间、对偶、Hadamard乘积、Hardy-Littlewood型不等式等理论,用函数平均值的增长性对Cn中单位球上βP(B)空间到βq(B)空间,Dp(B)空间到Dq(B)空间和βp(B)空间到Dq(B)空间的系数乘子进行了刻划.