Inequalities for integral operators in Holder-Morrey spaces on differential forms

被引：0
|
作者：
Li, Xuexin [1 ,2 ]
Wang, Jianwei [2 ]
Pan, Ning [2 ]
机构：
[1] Northeast Forestry Univ, Inst Cold Reg Sci & Engn, Harbin 150040, Peoples R China
[2] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Holder-Morrey spaces; Homotopy operator; Riesz potential; Differential forms; THEOREMS;
D O I：
10.1186/s13660-023-02977-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Holder-Morrey spaces ?(p,t)(?) (O, ?(l)) are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Holder-Morrey spaces on differential forms. The Holder continuity for Riesz potential with envelope function is deduced. As application, some composite theorems, which are associated with conjugate A-harmonic equations on differential forms, are given.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] Bilinear fractional integral operators on Morrey spaces
    He, Qianjun
    Yan, Dunyan
    POSITIVITY, 2021, 25 (02) : 399 - 429
  • [22] FRACTIONAL INTEGRAL OPERATORS ON CENTRAL MORREY SPACES
    Komori-Furuya, Yasuo
    Sato, Enji
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (03): : 801 - 813
  • [23] Integral Operators on Bergman-Morrey Spaces
    Yang, Yao
    Liu, Junming
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (06)
  • [24] FRACTIONAL INTEGRAL OPERATORS ON GRAND MORREY SPACES AND GRAND HARDY-MORREY SPACES
    Ho, Kwok-Pun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (02): : 755 - 774
  • [25] WEAK TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED NON-HOMOGENEOUS MORREY SPACES
    Idha Sihwaningrum
    Sri Maryani
    H.Gunawan
    Analysis in Theory and Applications, 2012, 28 (01) : 65 - 72
  • [26] Variation Inequalities Related to Schrodinger Operators on Morrey Spaces
    Zhang, Jing
    Wu, Huoxiong
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2018, 39 (06) : 973 - 988
  • [27] Boundedness of Operators and Inequalities on Morrey-Banach Spaces
    Ho, Kwok-Pun
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2022, 58 (03) : 551 - 577
  • [28] CHARACTERIZATIONS FOR THE GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES
    Eridani
    Gunawan, Hendra
    Nakai, Eiichi
    Sawano, Yoshihiro
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 761 - 777
  • [29] On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces
    Kokilashvili, V. M.
    Meskhi, A. N.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2021, 312 (01) : 194 - 206
  • [30] Integral operators on Bσ-Morrey-Campanato spaces
    Yasuo Komori-Furuya
    Katsuo Matsuoka
    Eiichi Nakai
    Yoshihiro Sawano
    Revista Matemática Complutense, 2013, 26 : 1 - 32
12345