Bounded subharmonic functions possess the Lebesgue property at each point

被引：0
|
作者：
Sadullaev, A. S. [1 ]
Imomkulov, S. A. [2 ]
Rakhimov, K. Kh. [1 ]
机构：
[1] Natl Univ Uzbekistan, Tashkent, Uzbekistan
[2] Navoi State Pedag Inst, Navoi, Uzbekistan
来源：
MATHEMATICAL NOTES | 2014年 / 96卷 / 5-6期
关键词：
subharmonic function; Lebesgue property; Lebesgue point; thin set; thin point; Borel set; Diophantine number; logarithmic capacity;
D O I：
10.1134/S0001434614110388
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the restriction of a bounded subharmonic function in a domain D aS, a", to any real line l aS,a", possesses the Lebesgue property at each point of l a (c) D.
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页码：992 / 995
页数：4
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