ADMISSIBLE BOUNDARY-VALUES OF BOUNDED HOLOMORPHIC-FUNCTIONS IN WEDGES

被引:7
作者
FORSTNERIC, F [1 ]
机构
[1] MAX PLANCK INST MATH,BONN,GERMANY
关键词
D O I
10.2307/2154185
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
If M subset-of C(N) is a generic Cauchy-Riemann manifold and W subset-of C(N) is a wedge domain with edge M, then every bounded holomorphic function on W has an admissible limit at almost every point of M . Moreover, if a holomorphic function f on W has a distribution boundary value (bv f) on M that is a bounded measurable function, then f is bounded on every finer wedge near M , and its admissible limit equals (bv f)(p) at almost every point p is-an-element-of M .
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页码:583 / 593
页数:11
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