SUBHARMONIC FUNCTION;
GREEN POTENTIAL;
BOUNDARY LIMIT;
NTA DOMAIN;
D O I:
10.4064/sm-108-1-25-48
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The following results concerning boundary behavior of subharmonic functions in the unit ball of R(n) are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek's theorem on the L(p)-nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.