Boundary behavior of superharmonic functions satisfying nonlinear inequalities in uniform domains, Trans
Boundary behavior of superharmonic functions satisfying nonlinear inequalities in uniform domains, Trans
复制标题
均匀域中满足非线性不等式的超调和函数的边界行为 Trans
DOI：
10.1090/s0002-9947-2011-05071-3
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
K. Hirata
中科院分区：
文献类型：
--
作者：
O. Iyama;Y. Yoshino;新井仁之;K. Hirata
在一致区域上，研究了满足非线性不等式的正超调和函数的边界行为，其中，是Laplacian，是点到边界的距离。特别地，我们提出了一个Fatou型定理关于非切向极限的存在性和Littlewood型定理关于切向极限的不存在性。引用
In a uniform domain, we investigate the boundary behavior of positive superharmonic functionssatisfying the nonlinear inequalitywith some constants,and, whereis the Laplacian andis the distance from a pointto the boundary of. In particular, we present a Fatou type theorem concerning the existence of nontangential limits and a Littlewood type theorem concerning the nonexistence of tangential limits. References