Weighted Norm Inequalities for Area Functions Related to Schrödinger Operators

被引：0
|
作者：
L. Tang
J. Wang
H. Zhu
机构：
[1] Peking University,
[2] Tufts University,undefined
[3] Beijing International Studies University,undefined
来源：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2019年 / 54卷
关键词：
Area function; Schrödinger operator; weighted norm inequality; 42B25; 42B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let L = −Δ + V be a Schrödinger operator, where Δ is the Laplacian operator on ℝn, and V is a nonnegative potential belonging to certain reverse Hölder class. In this paper, we establish some weighted norm inequalities for area functions related to Schrödinger operators and their commutators.
引用
收藏
页码：38 / 50
页数：12
相关论文
共 50 条
  • [1] Weighted norm inequalities related to fractional Schrödinger operators
    Zhiyong Wang
    Pengtao Li
    Yu Liu
    Journal of Pseudo-Differential Operators and Applications, 2023, 14
  • [2] Weighted Norm Inequalities for Area Functions Related to Schrodinger Operators
    Tang, L.
    Wang, J.
    Zhu, H.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2019, 54 (01): : 38 - 50
  • [3] Weighted norm inequalities of area operators
    Pang, Changbao
    Wang, Maofa
    Zhao, Liankuo
    STUDIA MATHEMATICA, 2025,
  • [4] On Weighted Compactness of Commutators Related with Schr?dinger Operators
    Qian Jun HE
    Peng Tao LI
    ActaMathematicaSinica,EnglishSeries, 2022, (06) : 1015 - 1040
  • [5] On Weighted Compactness of Commutators Related with Schrödinger Operators
    Qian Jun He
    Peng Tao Li
    Acta Mathematica Sinica, English Series, 2022, 38 : 1015 - 1040
  • [6] Sharp Inequalities for Ratios of Partition Functions of Schrödinger Operators
    Dahae You
    Potential Analysis, 2003, 18 : 219 - 250
  • [7] Variation Inequalities Related to Schrödinger Operators on Morrey Spaces
    Jing Zhang
    Huoxiong Wu
    Chinese Annals of Mathematics, Series B, 2018, 39 : 973 - 988
  • [8] Variation Inequalities Related to Schr?dinger Operators on Morrey Spaces
    Jing ZHANG
    Huoxiong WU
    Chinese Annals of Mathematics,Series B, 2018, (06) : 973 - 988
  • [9] Correlation Inequalities for Schrödinger Operators
    Tadahiro Miyao
    Mathematical Physics, Analysis and Geometry, 2020, 23
  • [10] AREA FUNCTIONS ON HARDY SPACES ASSOCIATED TO SCHRDINGER OPERATORS
    朱月萍
    Acta Mathematica Scientia, 2003, (04) : 521 - 530
12345