Traces of Orlicz-Sobolev functions under general growth restrictions

被引：8
|
作者：
Kalamajska, Agnieszka [1 ]
Krbec, Miroslav [2 ]
机构：
[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland
[2] Acad Sci Czech Republic, Inst Math, CZ-11567 Prague 1, Czech Republic
来源：
MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 07期
关键词：
Orlicz spaces; Orlicz-Slobodetskii spaces; trace; trace operator; Hardy inequality; SPACES; INEQUALITIES;
D O I：
10.1002/mana.201100185
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an estimate for the trace operator in spaces whose weak derivatives are in Orlicz spaces without constraints upon the growth of the generating Young function. This extends the known trace theorems established in Orlicz-Sobolev spaces, where the complementary Young function had to fulfill the 2-condition. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：730 / 742
页数：13
相关论文
共 50 条
  • [1] On the modulus of continuity of fractional Orlicz-Sobolev functions
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    MATHEMATISCHE ANNALEN, 2025, 391 (02) : 2429 - 2477
  • [2] Boundedness of functions in fractional Orlicz-Sobolev spaces
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 230
  • [3] Fractional Orlicz-Sobolev embeddings
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 149 : 216 - 253
  • [4] Orlicz-Sobolev Algebras
    Andrea Cianchi
    Potential Analysis, 2008, 28
  • [5] On fractional Orlicz-Sobolev spaces
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (02)
  • [6] Orlicz-Sobolev algebras
    Cianchi, Andrea
    POTENTIAL ANALYSIS, 2008, 28 (04) : 379 - 388
  • [7] Orlicz-Sobolev boundary trace embeddings
    Cianchi, Andrea
    MATHEMATISCHE ZEITSCHRIFT, 2010, 266 (02) : 431 - 449
  • [8] Optimal Orlicz-Sobolev embeddings
    Cianchi, A
    REVISTA MATEMATICA IBEROAMERICANA, 2004, 20 (02) : 427 - 474
  • [9] On F-Sobolev and Orlicz-Sobolev inequalities
    Kang, Cholryong
    Wang, Fengyu
    FRONTIERS OF MATHEMATICS IN CHINA, 2009, 4 (04) : 659 - 667
  • [10] ON WEIGHTED ORLICZ-SOBOLEV INEQUALITIES
    Anoop, T., V
    Das, Ujjal
    Roy, Subhajit
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, 44 (10) : 2849 - +
12345