Orlicz-Sobolev boundary trace embeddings

被引:24
|
作者
Cianchi, Andrea [1 ]
机构
[1] Univ Firenze, Dipartimento Matemat & Applicaz Architettura, I-50122 Florence, Italy
关键词
Orlicz-Sobolev spaces; Trace inequalities; Rearrangement invariant spaces; SPACES; INEQUALITIES; THEOREM;
D O I
10.1007/s00209-009-0578-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a sharp trace embedding theorem for Orlicz-Sobolev spaces into Orlicz spaces on the boundary. An optimal trace embedding into more general rearrangement invariant spaces on the boundary is also established.
引用
收藏
页码:431 / 449
页数:19
相关论文
共 50 条
  • [1] Orlicz–Sobolev boundary trace embeddings
    Andrea Cianchi
    Mathematische Zeitschrift, 2010, 266 : 431 - 449
  • [2] Optimal Orlicz-Sobolev embeddings
    Cianchi, A
    REVISTA MATEMATICA IBEROAMERICANA, 2004, 20 (02) : 427 - 474
  • [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 embeddings, extensions and Orlicz-Poincareinequalities
    Heikkinen, Toni
    Karak, Nijjwal
    JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 282 (02)
  • [5] Optimal Domain Spaces in Orlicz-Sobolev Embeddings
    Cianchi, Andrea
    Musil, Vit
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019, 68 (03) : 925 - 966
  • [6] Boundary behavior of Orlicz-Sobolev classes
    D. A. Kovtonyuk
    V. I. Ryazanov
    R. R. Salimov
    E. A. Sevost’yanov
    Mathematical Notes, 2014, 95 : 509 - 519
  • [7] Boundary behavior of Orlicz-Sobolev classes
    Kovtonyuk, D. A.
    Ryazanov, V. I.
    Salimov, R. R.
    Sevost'yanov, E. A.
    MATHEMATICAL NOTES, 2014, 95 (3-4) : 509 - 519
  • [8] COMPACT EMBEDDINGS FOR WEIGHTED ORLICZ-SOBOLEV SPACES ON IRN
    VUILLERMOT, PA
    MATHEMATISCHE ANNALEN, 1987, 279 (02) : 277 - 296
  • [9] Orlicz-Sobolev Algebras
    Andrea Cianchi
    Potential Analysis, 2008, 28
  • [10] Nonhomogeneous boundary value problems in Orlicz-Sobolev spaces
    Mihailescu, Mihai
    Radulescu, Vicentiu
    COMPTES RENDUS MATHEMATIQUE, 2007, 344 (01) : 15 - 20