与Schrödinger算子相关的Riesz位势算子的交换子的有界性

Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 117-129.

Previous Articles Next Articles

The Boundedness of the Commutator of Riesz Potential Associated with Schrödinger Operators

Chen Dongxiang, Zhou Wenjuan, Fang Yuda

Department of Mathematics, Jiangxi Normal University, Nanchang 330022

Received:2015-04-13 Revised:2015-12-21 Online:2016-02-25 Published:2016-02-25
Supported by:
Supported by the NSFC (11261023, 11461033, 11401269) and the NNSF of Jiangxi Province (20142BAB201003)

Abstract

CLC Number:

O174.2

Chen Dongxiang, Zhou Wenjuan, Fang Yuda. The Boundedness of the Commutator of Riesz Potential Associated with Schrödinger Operators[J].Acta mathematica scientia,Series A, 2016, 36(1): 117-129.

[1]	Long Pinhong, Han Huili, Deng Guantie. Covering Properties for Rarefied Sets Associated with the Stationary Schrödinger Operator at Infinity in a Cone [J]. Acta mathematica scientia,Series A, 2016, 36(6): 1082-1091.
[2]	Chen Dongxiang, Chen Xuemei. L^p Boundedness for Some Commutators Related to Schrödinger Operator [J]. Acta mathematica scientia,Series A, 2016, 36(5): 832-847.
[3]	Wang Songbai, Pan Jibing, Jiang Yinsheng. Necessary and Sufficient Conditions for Boundedness of Commutators of Multilinear Fractional Integral Operators [J]. Acta mathematica scientia,Series A, 2015, 35(6): 1106-1114.
[4]	Zheng Qingyu, Zhang Lei, Shi Shaoguang. On Boundedness of Sublinear Operators on Generalized Weighted Grand Morrey Spaces [J]. Acta mathematica scientia,Series A, 2015, 35(3): 503-514.
[5]	MO Hui-Xia, LU Shan-Zhen. Boundedness of Generalized Higher Order Commutators of Marcinkiewicz \|Integrals with Variable Kernels on Herz-type Hardy Spaces [J]. Acta mathematica scientia,Series A, 2015, 35(1): 56-67.
[6]	CHEN Dong-Xiang, FANG Yu-Da. λ-Center BMO Estimates for the Toeplitz Operator Related to Singular Integral Operator with Non-smooth Kernels [J]. Acta mathematica scientia,Series A, 2014, 34(5): 1093-1103.
[7]	WANG Hua. Lipschtz Estimates for Multilinear Commutator of Marcinkiewicz Operator [J]. Acta mathematica scientia,Series A, 2014, 34(4): 977-991.
[8]	TONG Li-Juan, LIU Lan-Zhe. M²-Type Sharp Maximal Function Estimates and Boundedness for Toeplitz Type Operator Associated to Multiplier Operator [J]. Acta mathematica scientia,Series A, 2014, 34(3): 603-610.
[9]	ZHUANG Dan, YU Lin. Martingale Transforms between Orlicz-Hardy and BMO Spaces [J]. Acta mathematica scientia,Series A, 2014, 34(3): 744-754.
[10]	LU Sheng-Dong, JIANG Yin-Sheng, WANG Song-Bai. Weighted Estimates for Commutators of Marcinkiewicz Integrals with Non-Doubling Measures [J]. Acta mathematica scientia,Series A, 2014, 34(2): 303-316.
[11]	SUN Ai-Wen, WANG Yong-Yan, SHU Li-Sheng. Boundedness of Multilinear Commutators Generated by Singular Integral Operators with Non-Smooth Kernel on Spaces of Homogeneous Type [J]. Acta mathematica scientia,Series A, 2014, 34(2): 347-357.
[12]	WANG Li-Wei, QU Meng, SHU Li-Sheng. CBMO Estimates for Higher-Order Commutators onHomogeneous Morrey-Herz Spaces [J]. Acta mathematica scientia,Series A, 2014, 34(2): 426-436.
[13]	CHEN Dong-Xiang, LI Qian-Li. Two Weighted Estimates for Toeplitz Operator Related to Singular Integrals Operator with Non-smooth Kernels [J]. Acta mathematica scientia,Series A, 2013, 33(6): 1122-1132.
[14]	LIAN Jia-Li, MA Bo-Lin, WU Huo-Xiong. On the Commutators of Multilinear Fractional Integrals with Weighted Lipschitz Functions [J]. Acta mathematica scientia,Series A, 2013, 33(3): 494-509.
[15]	KONG Xiang-Bo, JIANG Yin-Sheng, ZHANG Lin. The Boundedness of Commutators with the Weighted Lipschitz Functions [J]. Acta mathematica scientia,Series A, 2013, 33(1): 152-164.

The Boundedness of the Commutator of Riesz Potential Associated with Schrödinger Operators

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10