H. Haijun, L. Lanzhe, “Weighted Inequalities for a General Commutator Associated to a Singular Integral Operator Satisfying a Variant of Hörmander's Condition”, Math. Notes, 101:5 (2017), 830

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Matematicheskie Zametki, 2017, Volume 101, Issue 5, paper published in the English version journal (Mi mzm11266)

This article is cited in 36 scientific papers (total in 36 papers)

Papers published in the English version of the journal

Weighted Inequalities for a General Commutator Associated to a Singular Integral Operator Satisfying a Variant of Hörmander's Condition

H. Haijun, L. Lanzhe

School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, China

Citations (36)

Abstract: In this paper, weighted inequalities for a certain general commutator associated to a singular integral operator satisfying a variant of Hörmander's condition on Lebesgue spaces are obtained. To do this, some weighted sharp maximal function inequalities for the commutator are proved.

Keywords: commutator, singular integral operator, sharp maximal function, weighted BMO, weighted Lipschitz function.

Funding agency	Grant number
Hunan Provincial Natural Science Foundation of China	2015JJ3013
Hunan Provincial Natural Science Foundation of China	2016JJ1001
The work of Hajun Hu was supported in part by Hunan Provincial Natural Science Foundation of China under grants no. 2015JJ3013 and no. 2016JJ1001.

Received: 11.05.2016
Revised: 01.12.2016

English version:
Mathematical Notes, 2017, Volume 101, Issue 5, Pages 830–840
DOI: https://doi.org/10.1134/S0001434617050091

Bibliographic databases:

Document Type: Article

PACS: 42B25

Language: English

Citation: H. Haijun, L. Lanzhe, “Weighted Inequalities for a General Commutator Associated to a Singular Integral Operator Satisfying a Variant of Hörmander's Condition”, Math. Notes, 101:5 (2017), 830–840

Citation in format AMSBIB

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\by H.~Haijun, L.~Lanzhe

\paper Weighted Inequalities for a General Commutator

Associated to a Singular Integral Operator

Satisfying a Variant of H\"ormander's Condition

\jour Math. Notes

\yr 2017

\vol 101

\issue 5

\pages 830--840

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Linking options:

https://www.mathnet.ru/eng/mzm11266

This publication is cited in the following 36 articles:

Xiuyun Xia, Huatao Chen, Hao Tian, Ye Wang, Yadan Shi, “Sharp and Weighted Boundedness for Multilinear Integral Operators”, Tatra Mountains Mathematical Publications, 86:1 (2024), 185
G. Yang, Q. Cao, “Stability for patch structure Nicholson's blowflies systems involving distinctive maturation and feedback delays”, J. Exp. Theor. Artif. Intell., 34:1 (2022), 81–93
Cao Q., Wang G., “Dynamic Analysis on a Delayed Nonlinear Density-Dependent Mortality Nicholson'S Blowflies Model”, Int. J. Control, 94:9 (2021), 2596–2602
Yao L., “Global Exponential Stability on Anti-Periodic Solutions in Proportional Delayed Hihnns”, J. Exp. Theor. Artif. Intell., 33:1 (2021), 47–61
Qian Ch., “New Periodic Stability For a Class of Nicholson'S Blowflies Models With Multiple Different Delays”, Int. J. Control, 94:12 (2021), 3433–3438
A. A. El-Deeb, I. Hwang, Ch. Park, O. Bazighifan, “Some new dynamic steffensen-type inequalities on a general time scale measure space”, AIMS Math., 7:3 (2021), 4326–4337
W.-M. Qian, H.-Z. Xu, Z.-Y. He, Yu.-M. Chu, “Bounding the Sandor-Yang means for the combinations of contraharmonic and arithmetic means”, J. Math. Inequal., 15:2 (2021), 655–666
H. Kalsoom, M. Idrees, D. Baleanu, Yu.-M. Chu, “New estimates of q(1)q(2)-ostrowski-type inequalities within a class of n-polynomial prevexity of functions”, J. Funct. space, 2020 (2020), 3720798
J.-M. Shen, Zh.-H. Yang, W.-M. Qian, W. Zhang, Yu.-M. Chu, “Sharp rational bounds for the gamma function”, Math. Inequal. Appl., 23:3 (2020), 843–853
X. Long, “Novel stability criteria on a patch structure nicholson's blowflies model with multiple pairs of time-varying delays”, AIMS Math., 5:6 (2020), 7387–7401
I. A. Baloch, Yu.-M. Chu, “Petrovic-type inequalities for harmonic h-convex functions”, J. Funct. space, 2020 (2020), 3075390
Q. Cao, G. Wang, Ch. Qian, “New results on global exponential stability for a periodic nicholson's blowflies model involving time-varying delays”, Adv. Differ. Equ., 2020:1 (2020)
S. Rafeeq, H. Kalsoom, S. Hussain, S. Rashid, Yu.-M. Chu, “Delay dynamic double integral inequalities on time scales with applications”, Adv. Differ. Equ., 2020:1 (2020)
Ch. Qian, Yu. Hu, “Novel stability criteria on nonlinear density-dependent mortality nicholson's blowflies systems in asymptotically almost periodic environments”, J. Inequal. Appl., 2020:1 (2020), 13
W.-M. Qian, Z.-Y. He, Yu.-M. Chu, “Approximation for the complete elliptic integral of the first kind”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 114:2 (2020)
B. Wang, Ch.-L. Luo, Sh.-H. Li, Yu.-M. Chu, “Sharp one-parameter geometric and quadratic means bounds for the sandor-yang means”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 114:1 (2020), 7
Ya. Xu, Q. Cao, “Global asymptotic stability for a nonlinear density-dependent mortality nicholson's blowflies system involving multiple pairs of time-varying delays”, Adv. Differ. Equ., 2020:1 (2020), 123
M.-K. Wang, M.-Y. Hong, Ya.-F. Xu, Zh.-H. Shen, Yu.-M. Chu, “Inequalities for generalized trigonometric and hyperbolic functions with one parameter”, J. Math. Inequal., 14:1 (2020), 1–21
S. Rashid, F. Jarad, M. A. Noor, “Gruss-type integrals inequalities via generalized proportional fractional operators”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 114:2 (2020), 93
S. Rashid, F. Jarad, H. Kalsom, Yu.-M. Chu, “On polya-szego and cebysev type inequalities via generalized k-fractional integrals”, Adv. Differ. Equ., 2020:1 (2020), 125

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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