TRANSLATION INVARIANT PROJECTIONS IN SOBOLEV SPACES ON TORI IN THE L1 AND UNIFORM NORMS

被引：2
|
作者：
WOJCIECHOWSKI, M
机构：
来源：
STUDIA MATHEMATICA | 1991年 / 100卷 / 02期
关键词：
D O I：
10.4064/sm-100-2-149-167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The idempotent multipliers on Sobolev spaces on the torus in the L1 and uniform norms are characterized in terms of the coset ring of the dual group of the torus. This result is deduced from a more general theorem concerning certain translation invariant subspaces of vector-valued function spaces on tori.
引用
收藏
页码：149 / 167
页数：19
相关论文
共 50 条
  • [21] On a class of degenerate elliptic operators in L1 spaces with respect to invariant measures
    Giuseppe Da Prato
    Alessandra Lunardi
    Mathematische Zeitschrift, 2007, 256 : 509 - 520
  • [22] On a class of degenerate elliptic operators in L1 spaces with respect to invariant measures
    Da Prato, Giuseppe
    Lunardi, Alessandra
    MATHEMATISCHE ZEITSCHRIFT, 2007, 256 (03) : 509 - 520
  • [23] METRIC PROJECTIONS IN L1(T)
    KAHANE, JP
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1973, 276 (08): : 621 - 623
  • [24] Sobolev spaces in several variables in L1-type norms are not isomorphic to Banach lattices
    Pelczynski, A
    Wojciechowski, M
    ARKIV FOR MATEMATIK, 2002, 40 (02): : 363 - 382
  • [25] A REMARK ON L1 SPACES
    LINDENSTRAUSS, J
    ISRAEL JOURNAL OF MATHEMATICS, 1970, 8 (01) : 80 - +
  • [26] CYCLIC ELEMENTS UNDER TRANSLATION IN WEIGHTED L1 SPACES ON R+
    DOMAR, Y
    ARKIV FOR MATEMATIK, 1981, 19 (01): : 137 - 144
  • [27] An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces L1, ν, β(G)
    Mizuta, Yoshihiro
    Nakai, Eiichi
    Ohno, Takao
    Shimomura, Tetsu
    HIROSHIMA MATHEMATICAL JOURNAL, 2008, 38 (03) : 425 - 436
  • [28] On some class of degenerate elliptic equations with L1(Ω) coefficients in P(X)-Sobolev spaces
    Boukhrij, Mohamed
    Aharrouch, Benali
    Bennouna, Jaouad
    Italian Journal of Pure and Applied Mathematics, 2022, 47 : 338 - 364
  • [29] Formulae for the L0, L1 and L∞ norms
    Williams, HP
    Munford, AG
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1999, 63 (02) : 121 - 141
  • [30] Recovery of Compressed Sampling in Shift-Invariant Spaces Base on L1 Norm
    Zhu, Zhao Xuan
    PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE OF INFORMATION AND COMMUNICATION TECHNOLOGY [ICICT-2019], 2019, 154 : 566 - 572
12345