The Commutators of Strongly Singular Integral Operators on the Weighted Hardy Spaces
查看参考文献13篇
|
文摘
|
Let T be a strongly singular Calderon–Zygmund operator and b ∈ L_(loc)( R~n ). This article finds out a class of non-trivial subspaces BMO_(ω,p,u)( R~n ) of BMO( R~n ) for certain ω ∈ A_1, 0 < p ≤ 1 and 1 < u ≤ ∞, such that the commutator [ b, T ] is bounded from weighted Hardy space H_ω~p( R~n ) to weighted Lebesgue space L_ω~p( R n ) if b ∈ BMO_(ω,p,∞)( R~n ), and is bounded from weighted Hardy space H_ω~p( R n ) to itself if T ∗ 1 = 0 and b ∈ BMO_(ω,p,u)( R~n ) for 1 < u < 2. |
|
来源
|
Acta Mathematica Sinica. English Series
,2021,37(12):1909-1920 【核心库】
|
|
DOI
|
10.1007/s10114-021-1069-z
|
|
关键词
|
Strongly singular Calderon–Zygmund operators
;
commutators
;
Muckenhoupt weights
;
BMO spaces
;
Hardy spaces
|
|
地址
|
School of Mathematical Sciences,Xiamen University, Xiamen, 361005
|
|
语种
|
英文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
1439-8516 |
|
学科
|
数学 |
|
基金
|
国家自然科学基金
|
|
文献收藏号
|
CSCD:7131857
|
参考文献 共
13
共1页
|
|
1.
Alvarez J. Weighted estimates for commutators of linear operators.
Studia Math,1993,104:195-209
|
CSCD被引
63
次
|
|
|
|
|
2.
Alvarez J. Hp continuity properties of Calderon-Zygmund-type operators.
J. Math. Anal. Appl,1986,118:63-79
|
CSCD被引
19
次
|
|
|
|
|
3.
Alvarez J. Vector valued inequalities for strongly singular Calderon-Zygmund operators.
Rev. Mat. Iberoamericana,1986,2:405-426
|
CSCD被引
7
次
|
|
|
|
|
4.
Bownik M. Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators.
Indiana Univ. Math. J,2008,57:3065-3100
|
CSCD被引
20
次
|
|
|
|
|
5.
Garcia-Cuerva J. Weighted Hp spaces.
Dissertationes Math. (Rozprawy Mat.),1979,162:63
|
CSCD被引
1
次
|
|
|
|
|
6.
Garcia-Cuerva J.
Weighted Norm Inequalities and Related Topics,1985
|
CSCD被引
100
次
|
|
|
|
|
7.
Harboure E. Boundedness of commutators of fractional and singular integrals for the extreme values of p.
Illinois J. Math,1997,41:676-700
|
CSCD被引
20
次
|
|
|
|
|
8.
Huy D Q. Weighted Hardy space estimates for commutators of Calderon-Zygmund operators.
Vietnam J. Math,2021,49:1065-1077
|
CSCD被引
3
次
|
|
|
|
|
9.
Li J. Strongly singular integral operators on weighted Hardy space.
Acta Math. Sin., Engl. Ser,2006,22:767-772
|
CSCD被引
1
次
|
|
|
|
|
10.
Liang Y. Weighted endpoint estimates for commutators of Calderon-Zygmund operators.
Proc. Amer. Math. Soc,2016,144:5171-5181
|
CSCD被引
2
次
|
|
|
|
|
11.
Lin Y. Strongly singular Calderon-Zygmund operator and commutator on Morrey type spaces.
Acta Math. Sin., Engl. Ser,2007,23:2097-2110
|
CSCD被引
10
次
|
|
|
|
|
12.
Lin Y. Boundedness of commutators on Hardy-type spaces.
Integral Equations Operator Theory,2007,57:381-396
|
CSCD被引
3
次
|
|
|
|
|
13.
Lin Y. Weighted Estimates for Commutators of Strongly Singular Calderon—Zygmund Operators.
Acta Math. Sin., Engl. Ser,2016,32:1297-1311
|
CSCD被引
5
次
|
|
|
|
|
了解气象卫星更多信息，请访问