Embeddings for Morrey-Lorentz Spaces

被引：61
|
作者：
Ragusa, Maria Alessandra [1 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 154卷 / 02期
关键词：
Rearrangement functions; Lorentz spaces; Morrey spaces; Holder inequality; DIFFERENTIAL-OPERATORS;
D O I：
10.1007/s10957-012-0012-y
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, new classes of functions are defined. These spaces generalize Lorentz spaces and give a refinement of Lebesgue spaces, weak-Lebesgue spaces, and Morrey spaces. Some embeddings between these new classes are also proved.
引用
收藏
页码：491 / 499
页数：9
相关论文
共 50 条
  • [1] PROPER EMBEDDING FOR MORREY-LORENTZ SPACES
    Hatano, Naoya
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (02) : 225 - 230
  • [2] Atomic decomposition for Morrey-Lorentz spaces
    Hatano, Naoya
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 541 (02)
  • [3] Embeddings for Morrey–Lorentz Spaces
    Maria Alessandra Ragusa
    Journal of Optimization Theory and Applications, 2012, 154 : 491 - 499
  • [4] Boundedness of the maximal operator in the local Morrey-Lorentz spaces
    Canay Aykol
    Vagif S Guliyev
    Ayhan Serbetci
    Journal of Inequalities and Applications, 2013
  • [5] Boundedness of the maximal operator in the local Morrey-Lorentz spaces
    Aykol, Canay
    Guliyev, Vagif S.
    Serbetci, Ayhan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [6] The boundedness of Hilbert transform in the local Morrey-Lorentz spaces
    Aykol, C.
    Guliyev, V. S.
    Kucukaslan, A.
    Serbetci, A.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (04) : 318 - 330
  • [7] Fractional Operators on Morrey-Lorentz Spaces and the Olsen Inequality
    Hatano, N.
    MATHEMATICAL NOTES, 2020, 107 (1-2) : 63 - 79
  • [8] Riesz potential in the local Morrey-Lorentz spaces and some applications
    Guliyev, Vagif S.
    Kucukaslan, Abdulhamit
    Aykol, Canay
    Serbetci, Ayhan
    GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (04) : 557 - 567
  • [9] ADAMS' TRACE PRINCIPLE IN MORREY-LORENTZ SPACES ON β-HAUSDORFF DIMENSIONAL SURFACES
    de Almeida, Marcelo F.
    Lima, Lidiane S. M.
    ANNALES FENNICI MATHEMATICI, 2021, 46 (02): : 1161 - 1177
  • [10] RIESZ POTENTIALS IN THE LOCAL VARIABLE MORREY-LORENTZ SPACES AND SOME APPLICATIONS
    Aykol, Canay
    Hasanov, Javanshir
    MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 141 - 151
12345