高维 Hardy 算子及其交换子的双权不等式

Abstract

CLC Number:

O174.2

Wang Yaoyao, Lv Meichuan, Li Wenming. Two-Weight Inequalities for ${n}$ -dimentional Hardy Operator and Commutators[J].Acta mathematica scientia,Series A, 2024, 44(3): 539-546.

Trendmd

References 14

[1]	Faris W. Weak Lebesgue spaces and quantum mechanical binding. Duke Math J, 1976, 43(2): 365-373
[2]	Chirst M, Grafakos L. Best constants for two non-convolution inequalities. Proc Amer Math Soc, 1995, 123(6): 1687-1693
[3]	Lu S Z, Yang D C. The central $BMO$ spaces and Little-Paley operators. Approx Theory Appl, 1995, 11(3): 75-97
[4]	Fu Z W, Liu Z G, Lu S Z, Wang H B. Characterization for commutators of $n$ -dimensional fractional Hardy operators. Sci China Math, 2007, 50(10): 1418-1426
[5]	Zhao F Y, Fu Z W, Lu S Z. Endpoint estimates for n-dimensional Hardy operators and their commutators. Sci China Math, 2012, 55(10):1977-1990
[6]	Lu S Z. Some recent progress of $n$ -dimensional Hardy operators. Adv Math(China), 2013, 42(6): 737-747
[7]	Fu Z W, Grafakos L, Lu S Z, Zhao F Y. Sharp bounds for $m$ -linear Hardy and Hilbert operators. Houston J Math, 2012, 38(1): 225-244
[8]	Zheng Q Y, Fu Z W. Hardy's integral inequality for commutators of Hardy operators. J Inequal Pure Appl Math, 2006, 7(5): Paper No 183
[9]	Duoandikoetxea J, Martín-Reyes F J, Ombrosi S. Calderòn weights as Muckenhoupt weights. Indiana Univ Math J, 2013, 62(3): 891-910
[10]	Muckenhoupt B. Weighted norm inequalities for the Hardy maximal function. Trans Amer Math Soc, 1972, 165(2): 207-226
[11]	Drábek P, Heinig H P, Kufner A. Higher dimensional Hardy inequality. Internat Ser Numer Math, 1997, 123: 3-16
[12]	Zhao F Y, Fu Z W, Lu S Z. $M_p$ weights for bilinear Hardy operators on $\mathbb{R}^n$ . Collect Math, 2014, 65(1): 87-102
[13]	Long S, Wang J. Commutators of Hardy operators. J Math Anal Appl, 2002, 274(2): 626-644
[14]	Li W M, Zhang T T, Xue L M. Two-Weight inequalities for Hardy operator and commutators. J Math Inequal, 2015, 9(3): 653-664

Related Articles 15

[1]	Ku Fuli. Compact Commutators of $m$ -Linear Calderón-Zygmund Operators on Generalized Morrey Spaces [J]. Acta mathematica scientia,Series A, 2024, 44(2): 286-297.
[2]	Cheng Xin, Zhang Jing. The Boundedness for Multilinear Commutators of One-Sided Operators on Triebel-Lizorkin Spaces [J]. Acta mathematica scientia,Series A, 2024, 44(1): 50-59.
[3]	Yang Xuechun,Li Baode. Pointwise Estimate of Fractional Maximal Singular Integral Commutators and its Application [J]. Acta mathematica scientia,Series A, 2023, 43(4): 1024-1036.
[4]	Ning Xu,Zehua Zhou,Ying Ding. Commutators of Weighted Composition Operators on Hardy Space of the Unit Ball [J]. Acta mathematica scientia,Series A, 2021, 41(6): 1606-1615.
[5]	Xiaoli Chen,Dongxiang Chen,Hongyan Zhu. Weighted Estimates for Some Multilinear Square Operator and Commutator with Generalized Kernel [J]. Acta mathematica scientia,Series A, 2021, 41(4): 954-967.
[6]	Yulong Deng,Shunchao Long. ${A_{p}(\varphi)}$ Weights, Pseudo-Differential Operators and Their Commutators [J]. Acta mathematica scientia,Series A, 2021, 41(2): 313-325.
[7]	Guanghui Lu,Shuangping Tao. θ Type Marcinkiewicz Integral and Its Commutator on Metric Measure Spaces [J]. Acta mathematica scientia,Series A, 2020, 40(6): 1431-1445.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	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.
[13]	WANG Hua. Lipschtz Estimates for Multilinear Commutator of Marcinkiewicz Operator [J]. Acta mathematica scientia,Series A, 2014, 34(4): 977-991.
[14]	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.
[15]	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.

Metrics

Viewed

Full text

110

HTML			PDF

Just accepted	Online first	Issue	Just accepted	Online first	Issue
0	0	7	0	0	103

	From	local

	Times	110
	Rate	100%

Abstract

115

Just accepted	Online first	Issue

0	0	115

From	Others	local

Times	109	6
Rate	95%	5%

Cited

Web of Science	Crossref	ScienceDirect	Search for Citations in Google Scholar >>


This page requires you have already subscribed to WoS.

Shared

Discussed

Comments

Recommended 10

[1]	Sitan Lin. OBSTACLE PROBLEMS ON $RCD(K, N)$ METRIC MEASURE SPACES^*[J]. Acta mathematica scientia,Series A, 0, (): 1925 -1944 .
[2]	Léo Glangetas, Van-Sang Ngo, El Mehdi Said. HYDROSTATIC LIMIT OF THE NAVIER-STOKES-ALPHA MODEL^*[J]. Acta mathematica scientia,Series A, 0, (): 1945 -1980 .
[3]	Ding Xuanhao,Hou Lin,Li Yongning. The Reproducing Kernel of Bergman Space and the Eigenvectors of Toeplitz Operator[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1333 -1340 .
[4]	Li Xiaodong, Gao Hongliang, Xu Jing. Exact Multiplicity of Positive Solutions for a Semipositone Mean Curvature Problem with Concave Nonlinearity[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1341 -1349 .
[5]	Li Wenxin,Lian Pan,Liang Yuxia. The Schödinger Uncertainty Relation in the Fock-Type Spaces[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1321 -1332 .
[6]	Jian Hui, Gong Min, Wang Li. On the Blow-Up Solutions of Inhomogeneous Nonlinear Schrödinger Equation with a Partial Confinement[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1350 -1372 .
[7]	Cheng Qingfang,Liao Jiafeng,Yuan Yanxiang. Existence of Positive Solutions for a Class of Schrödinger-Newton Systems with Critical Exponent[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1373 -1381 .
[8]	Zhang Jie,Zhao Donghai. On Second Order Complex Differential Equations with Coefficients of Period ${2\pi{\rm i}}$ [J]. Acta mathematica scientia,Series A, 2023, 43(5): 1382 -1390 .
[9]	Dai Guowei,Gao Siyu,Ma Ruyun. Global Bifurcation for the Yamabe Equation on the Unit Sphere[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1391 -1396 .
[10]	Chen Fei,Wang Shuai,Zhao Yongye,Wang Chuanbao. Time Decay Rate for Large-Solution About 3D Compressible MHD Equations[J]. Acta mathematica scientia,Series A, 2023, 43(5): 1397 -1408 .

Two-Weight Inequalities for ${n}$ -dimentional Hardy Operator and Commutators

RichHTML

PDF (PC)

Abstract

Cite this article

share this article

References 14

Related Articles 15

Metrics

Comments

Recommended 10

Two-Weight Inequalities for n {n}-dimentional Hardy Operator and Commutators

RichHTML

PDF (PC)

Abstract

Cite this article

share this article

References 14

Related Articles 15

Metrics

Comments

Recommended 10

Two-Weight Inequalities for ${n}$ -dimentional Hardy Operator and Commutators