Duals of Hardy Amalgam Spaces and Norm Inequalities

被引:5
作者
Able, Z. V. P. [1 ]
Feuto, J. [1 ]
机构
[1] Univ Felix Houphouet Boigny, Lab Math Fondamentales, UFR Math & Informat, 22 BP 582, Abidjan 22, Chile
关键词
amalgam space; Hardy amalgam space; duality; Calderon-Zygmund operator; convolution operator; Riesz potential operator; VARIABLE EXPONENTS; OPERATORS; LP;
D O I
10.1007/s10476-019-0001-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize the dual spaces of the generalized Hardy spaces defined by replacing Lebesgue quasi-norms by Wiener amalgam ones. In these generalized Hardy spaces we prove that some classical linear operators such as Calderon-Zygmund, convolution and Riesz potential operators are bounded.
引用
收藏
页码:647 / 686
页数:40
相关论文
共 21 条
  • [1] Atomic decomposition of Hardy-amalgam spaces
    Able, Zobo Vincent de Paul
    Feuto, Justin
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (02) : 1899 - 1936
  • [2] The Hardy-Lorentz spaces Hp,q(Rn)
    Abu-Shammala, Wael
    Torchinsky, Alberto
    [J]. STUDIA MATHEMATICA, 2007, 182 (03) : 283 - 294
  • [3] [Anonymous], 1978, Ann. Inst. Fourier, DOI DOI 10.5802/AIF.689
  • [4] [Anonymous], 1985, Weighted Norm Inequalities and Related Topics
  • [5] Bownik M, 2003, MEM AM MATH SOC, V164, P1
  • [6] PRODUCT-CONVOLUTION OPERATORS AND MIXED-NORM SPACES
    BUSBY, RC
    SMITH, HA
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 263 (02) : 309 - 341
  • [7] INTEGRAL-OPERATORS ON WEIGHTED AMALGAMS
    CARTONLEBRUN, C
    HEINIG, HP
    HOFMANN, SC
    [J]. STUDIA MATHEMATICA, 1994, 109 (02) : 133 - 157
  • [8] Duoandikoetxea J., 2001, Graduate Studies in Mathematics, P29
  • [9] AMALGAMS OF LP AND LQ
    FOURNIER, JJF
    STEWART, J
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 13 (01) : 1 - 21
  • [10] Garcia-Cuerva J., 1979, Diss. Math., V162, P1