Variable Herz-Morrey Spaces with Two Weights and Their Applications

被引:0
作者
Yu, Xia [1 ]
Liu, Zongguang [2 ]
机构
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
[2] China Univ Min & Technol Beijing, Sch Sci, Beijing 100083, Peoples R China
基金
中国国家自然科学基金;
关键词
Herz-Morrey space; Variable exponent; Muckenhoupt class; Sublinear operator; SUBLINEAR-OPERATORS; FRACTIONAL INTEGRALS; NORM INEQUALITIES; MAXIMAL OPERATOR; BOUNDEDNESS; COMMUTATORS; LEBESGUE;
D O I
10.1007/s41980-024-00929-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the variable Herz-Morrey spaces with two weights and describes some basic features of these spaces. As their applications, the vector-valued inequality of some sublinear operators was established.
引用
收藏
页数:26
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共 22 条
  • [1] Maximal, potential and singular type operators on Herz spaces with variable exponents
    Almeida, Alexandre
    Drihem, Douadi
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) : 781 - 795
  • [2] Cruz-Uribe D, 2006, ANN ACAD SCI FENN-M, V31, P239
  • [3] Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
    Cruz-Uribe, D.
    Fiorenza, A.
    Neugebauer, C. J.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) : 744 - 760
  • [4] EXTRAPOLATION AND WEIGHTED NORM INEQUALITIES IN THE VARIABLE LEBESGUE SPACES
    Cruz-Uribe, David
    Wang, Li-An Daniel
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (02) : 1205 - 1235
  • [5] THE MAXIMAL OPERATOR ON WEIGHTED VARIABLE LEBESGUE SPACES
    Cruz-Uribe, David
    Diening, Lars
    Hasto, Peter
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (03) : 361 - 374
  • [6] NOTES ON THE HERZ-TYPE HARDY SPACES OF VARIABLE SMOOTHNESS AND INTEGRABILITY
    Drihem, Douadi
    Seghiri, Fakhreddine
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (01): : 145 - 165
  • [7] HERZ CS, 1968, J MATH MECH, V18, P283
  • [8] Izuki M., 2011, OCAMI preprint series, P11
  • [9] Two Weighted Herz Spaces with Variable Exponents
    Izuki, Mitsuo
    Noi, Takahiro
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) : 169 - 200
  • [10] Boundedness of fractional integrals on weighted Herz spaces with variable exponent
    Izuki, Mitsuo
    Noi, Takahiro
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,