On the Boundary Limits of Monotone Sobolev Functions in Variable Exponent Orlicz Spaces

被引：1

作者：

Futamura, Toshihide ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Daido Univ, Dept Math, Nagoya, Aichi 4578530, Japan

[2] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 03期

基金：

日本学术振兴会;

关键词：

Monotone Sobolev functions; nontangential limits; tangential limits; Lindelof theorem; variable exponent; LINDELOF THEOREMS; TRACES;

D O I：

10.1007/s10114-013-0575-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this note is to deal with boundary limits of monotone Sobolev functions with del u is an element of L-p(.) log L-q(.)(B) for the unit ball B subset of R-n. Here p(.) and p(.) are variable exponents satisfying the log-Holder and the log log-Holder conditions, respectively.

引用

页码：461 / 470

页数：10

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