On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces

被引：0
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作者：
Toshihide Futamura
Tetsu Shimomura
机构：
[1] Daido University,Department of Mathematics
[2] Hiroshima University,Department of Mathematics, Graduate School of Education
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Monotone Sobolev functions; nontangential limits; tangential limits; Lindelöf theorem; variable exponent; 31B25; 46E35;
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摘要：
Our aim in this note is to deal with boundary limits of monotone Sobolev functions with ∇u ∈ Lp(·) log Lq(·)(B) for the unit ball B ⊂ ℝn. Here p(·) and p(·) are variable exponents satisfying the log-Hölder and the log log-Hölder conditions, respectively.
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页码：461 / 470
页数：9
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