N. M. Chuong, D. V. Duong, K. H. Dung, “Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces”, Math. Notes, 106:1 (2019), 20

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Matematicheskie Zametki, 2019, Volume 106, Issue 1, paper published in the English version journal (Mi mzm12154)

This article is cited in 14 scientific papers (total in 14 papers)

Papers published in the English version of the journal

Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces

N. M. Chuong^a, D. V. Duong^b, K. H. Dung^c

^a Institute of Mathematics, Vietnamese Academy of Science and Technology, Hanoi, 100000 Vietnam
^b School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, 620000 Vietnam
^c School of Mathematics, University of Transport and Communications, Hanoi, 100000 Vietnam

Citations (14)

Abstract: In this paper, we prove the boundedness of matrix Hausdorff operators and rough Hausdorff operators in the two weighted Herz-type Hardy spaces associated with both power weights and Muckenhoupt weights. By applying the fact that the standard infinite atomic decomposition norm on two weighted Herz-type Hardy spaces is equivalent to the finite atomic norm on some dense subspaces of them, we generalize some previous known results due to Chen et al. [7] and Ruan, Fan [31].

Keywords: Hausdorff operator, Herz space, Herz-type Hardy space, $A_p$ weight, atom.

Funding agency	Grant number
National Foundation for Science and Technology Development Vietnam	101.02-2014.51
This research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant 101.02-2014.51.

Received: 16.08.2018
Revised: 20.12.2018

English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 20–37
DOI: https://doi.org/10.1134/S0001434619070034

Bibliographic databases:

Document Type: Article

Language: English

Citation: N. M. Chuong, D. V. Duong, K. H. Dung, “Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces”, Math. Notes, 106:1 (2019), 20–37

Citation in format AMSBIB

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\pages 20--37

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Linking options:

https://www.mathnet.ru/eng/mzm12154

This publication is cited in the following 14 articles:

D.V. Duong, N.T. Hong, “Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces”, Russ. J. Math. Phys., 31:3 (2024), 418
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman, Abdul Rauf Khan, “Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators”, Journal of Function Spaces, 2024:1 (2024)
K. H. Dung, D. V. Duong, “Some estimates for rough Hausdorff operators on the Heisenberg group”, J. Anal., 31:2 (2023), 1425
K. H. Dung, P. T. K. Thuy, “Commutators of Hausdorff operators on Herz-type Hardy spaces”, Adv. Oper. Theory, 7:3 (2022)
K. H. Dung, D. V. Duong, N. D. Duyet, “Weighted Triebel-Lizorkin and Herz spaces estimates for $p$-adic Hausdorff type operator and its applications”, Anal. Math., 48:3 (2022), 717
Y. Sun, J. Zhao, “Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups”, J. Pseudo-Differ. Oper. Appl., 13:4 (2022)
D. Van Duong, “Hausdorff operator and commutator on weighted Morrey-Herz spaces on p-adic fields”, Anal. Math. Phys., 11:1 (2021), 31
K. H. Dung, D. V. Duong, “The p-adic Hausdorff operator and some applications to Hardy-Hilbert type inequalities”, Russ. J. Math. Phys., 28:3 (2021), 303–316
M. Wei, “Estimates for the product weighted Hardy-Littlewood average and its commutator on product central Morrey spaces”, Mediterr. J. Math., 18:6 (2021), 235
Dao Van Duong, Ngo Thi Hong, “Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces”, Oper. Matrices, 15:4 (2021), 1541–1557
D. Van Duong, “Generalized multilinear Hausdorff operators on the Heisenberg group”, Results Math., 76:2 (2021), 76
Wei M., “A Characterization of C(M) Over Doto((Q)Over-Right-Arrow) Via the Commutator of Hardy-Type Operators on Mixed Herz Spaces”, Appl. Anal., 2021
R. A. Bandaliyev, K. H. Safarova, “On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces”, Tbil. Math. J., 13:1, SI (2020), 39–45
Chuong N.M., Van Duong D., Duyet N.D., “Two-Weighted Estimates For Multilinear Hausdorff Operators on the Morrey-Herz Spaces”, Adv. Oper. Theory, 5:4 (2020), 1780–1813

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

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