上调和函数的边界细极限

Fine Boundary Limits of Superharmonic Functions

研究上调和函数的边界细极限与关联测度的关系，得到细极限的准确估计式，给出关联测度连续的条件。

Let u(z)be a positive superharmonic function on the disk B={|z|<1}in R￣2,then the fine lower limit of u(z)at z_0∈B has the best estimation f-lim inf(1-|z|)·u(z)≤2λ({z_0}),where λ is the singular part of the representing measure of the greatestharmonic minorant of u.