Boundedness of the Vector-Valued Intrinsic Square Functions on Variable Exponents Herz Spaces

被引：3
|
作者：
Omer, Omer Abdalrhman [1 ]
Abidin, Muhammad Zainul [1 ]
机构：
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 07期
关键词：
intrinsic square function; vector-valued inequality; Herz spaces; BMO function; variable exponent; sublinear operators; SUBLINEAR-OPERATORS; SOBOLEV SPACES; COMMUTATORS; MORREY; LEBESGUE;
D O I：
10.3390/math10071168
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the authors study the boundedness of the vector-valued inequality for the intrinsic square function and the boundedness of the scalar-valued intrinsic square function on variable exponents Herz spaces K-rho(.)(alpha,q(.)) (R-n). In addition, the boundedness of commutators generated P() by the scalar valued intrinsic square function and BMO class is also studied on K-rho(.)(alpha,q(.)) (R-n).
引用
收藏
页数：22
相关论文
共 50 条
  • [21] Sobolev spaces of vector-valued functions
    Iván Caamaño
    Jesús Á. Jaramillo
    Ángeles Prieto
    Alberto Ruiz de Alarcón
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [22] Sublinear operators on Herz-Hardy spaces with variable exponents
    Ho, Kwok-Pun
    MATHEMATISCHE NACHRICHTEN, 2022, 295 (05) : 876 - 889
  • [23] BOUNDEDNESS OF THE COMMUTATOR OF THE INTRINSIC SQUARE FUNCTION IN VARIABLE EXPONENT SPACES
    Wang, Liwei
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (04) : 939 - 962
  • [24] Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents
    Ciqiang Zhuo
    Dachun Yang
    Yiyu Liang
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1541 - 1577
  • [25] Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents
    Zhuo, Ciqiang
    Yang, Dachun
    Liang, Yiyu
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1541 - 1577
  • [26] The Commutators of Intrinsic Square Functions on Weighted Herz Spaces
    Hu, Yue
    Wang, Yueshan
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1421 - 1437
  • [27] The Commutators of Intrinsic Square Functions on Weighted Herz Spaces
    Yue Hu
    Yueshan Wang
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1421 - 1437
  • [28] Characterizing Sobolev spaces of vector-valued functions
    Caamano, Ivan
    Jaramillo, Jesus A.
    Prieto, Angeles
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (01)
  • [29] Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents
    Ho, Kwok-Pun
    KYOTO JOURNAL OF MATHEMATICS, 2016, 56 (01) : 97 - 124
  • [30] Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents
    Cai, Jinling
    Dong, Baohua
    Tang, Canqin
    JOURNAL OF MATHEMATICAL STUDY, 2020, 53 (03): : 297 - 315
12345