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

作     者：Toshihide FUTAMURA Tetsu SHIMOMURA 

作者机构：Department of Mathematics Daido University Department of Mathematics Graduate School of Education Hiroshima University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第3期

页      面：461-470页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Grant-in-Aid for Scientific Research (C) (Grant No. 21540183) Japan Society for the Promotion of Science 

主　　题：Monotone Sobolev functions nontangential limits tangential limits LindelSf theorem,variable exponent 

摘      要：Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp（·）logLq（·）（B）for the unit ball B *** p（·） and q（·） are variable exponents satisfying the log-H61der and the log log-H61der conditions, respectively.