BOUNDARY LIMITS OF MONOTONE SOBOLEV FUNCTIONS ON METRIC SPACES

被引:0
|
作者
Futamura, Toshihide [1 ]
Shimomura, Tetsu [2 ]
机构
[1] Daido Univ, Dept Math, Nagoya, Aichi 4578530, Japan
[2] Hiroshima Univ, Grad Sch Humanities & Social Sci, Dept Math, Higashihiroshima 7398524, Japan
基金
日本学术振兴会;
关键词
31B25; 46E35; REGULARITY; EXISTENCE; TRACES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we are concerned with weighted boundary limits of monotone Sobolev functions in Orlicz spaces on bounded (eta, Psi)-John domains in a metric space. We also deal with Lindelof type theorems for monotone Sobolev functions on uniform domains in a metric space.
引用
收藏
页码:135 / 147
页数:13
相关论文
共 50 条
  • [31] On approximation of functions from Sobolev spaces on metric graphs
    Solomyak, M
    [J]. JOURNAL OF APPROXIMATION THEORY, 2003, 121 (02) : 199 - 219
  • [32] Sobolev space properties of superharmonic functions on metric spaces
    Juha Kinnunen
    Olli Martio
    [J]. Results in Mathematics, 2003, 44 (1-2) : 114 - 129
  • [33] Monotone Metric Spaces
    Nekvinda, Ales
    Zindulka, Ondrej
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2012, 29 (03): : 545 - 558
  • [34] Monotone Metric Spaces
    Aleš Nekvinda
    Ondřej Zindulka
    [J]. Order, 2012, 29 : 545 - 558
  • [35] Wiener criterion on metric spaces: Boundary regularity in axiomatic and Poincaré-Sobolev spaces
    Sergey A. Timoshin
    [J]. Israel Journal of Mathematics, 2010, 179 : 211 - 234
  • [36] On the continuity of Sobolev-type functions on homogeneous metric spaces
    Pomahob, A. C.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2022, 19 (02): : 460 - 483
  • [37] Lindelof theorems for monotone Sobolev functions in Orlicz spaces on uniform domains
    Futamura, Toshihide
    Shimomura, Tetsu
    [J]. MATHEMATISCHE NACHRICHTEN, 2019, 292 (04) : 793 - 804
  • [38] Poincare inequalities and Newtonian Sobolev functions on noncomplete metric spaces
    Bjorn, Anders
    Bjorn, Jana
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (01) : 44 - 69
  • [39] On fixed point theorems of monotone functions in Ordered metric spaces
    K. Kalyani
    N. Seshagiri Rao
    Belay Mitiku
    [J]. The Journal of Analysis, 2021, 29 : 1237 - 1250
  • [40] Sobolev extensions of holder continuous and characteristic functions on metric spaces
    Bjoern, Anders
    Bjoern, Jana
    Shanmugalingam, Nageswari
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2007, 59 (06): : 1135 - 1153