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    Weak boundedness for the commutator of $n$-dimensional rough Hardy operator on homogeneous Herz spaces and central Morrey spaces

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    https://www.riss.kr/link?id=A109165199

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of $H_\Omega^b$ on central Morrey spaces is also established.
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    In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness ...

    In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of $H_\Omega^b$ on central Morrey spaces is also established.

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    참고문헌 (Reference)

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    2 Q. Y. Wu, "Weighted p-adic Hardy operators and their commutators on p-adic central Morrey spaces" 40 (40): 635-654, 2017

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    4 J. Ruan, "Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group" 22 (22): 307-329, 2019

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    6 W. G. Faris, "Weak Lebesgue spaces and quantum mechanical binding" 43 (43): 365-373, 1976

    7 Z. Fu, "Two characterizations of central BMO space via the commutators of Hardy operators" 33 (33): 505-529, 2021

    8 S. Lu, "The weighted Herz-type Hardy space and its applications" 38 (38): 662-673, 1995

    9 W. Guo, "The unified theory for the necessity of bounded commutators and applications" 30 (30): 3995-4035, 2020

    10 S. Lu, "The central BMO spaces and Littlewood–Paley operators" 11 (11): 72-94, 1995

    1 K. Andersen, "Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions" 72 (72): 9-26, 1982

    2 Q. Y. Wu, "Weighted p-adic Hardy operators and their commutators on p-adic central Morrey spaces" 40 (40): 635-654, 2017

    3 Z. Fu, "Weighted multilinear Hardy operators and commutators" 27 (27): 2825-2851, 2015

    4 J. Ruan, "Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group" 22 (22): 307-329, 2019

    5 E. Sawyer, "Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator" 281 (281): 329-337, 1984

    6 W. G. Faris, "Weak Lebesgue spaces and quantum mechanical binding" 43 (43): 365-373, 1976

    7 Z. Fu, "Two characterizations of central BMO space via the commutators of Hardy operators" 33 (33): 505-529, 2021

    8 S. Lu, "The weighted Herz-type Hardy space and its applications" 38 (38): 662-673, 1995

    9 W. Guo, "The unified theory for the necessity of bounded commutators and applications" 30 (30): 3995-4035, 2020

    10 S. Lu, "The central BMO spaces and Littlewood–Paley operators" 11 (11): 72-94, 1995

    11 G. Hu, "The applications of weak Herz spaces" 26 (26): 417-428, 1997

    12 J. Alvarez, "Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures" 51 (51): 1-47, 2000

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    19 C. B. Morrey, "On the solutions of quasi-linear elliptic partial differential equations" 43 (43): 126-166, 1938

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    26 S. Long, "Commutators of Hardy operators" 274 (274): 626-644, 2002

    27 D. H. Wang, "Characterizations of the BMO and Lipschitz spaces via commutators on weak Lebesgue and Morrey spaces" 39 (39): 583-590, 2023

    28 Qianjun He ; Mingquan Wei ; Dunyan Yan, "Characterizations of p-adic central Campanato spaces via commutator of p-adic Hardy type operators" 56 (56): 767-787, 2019

    29 C. Fefferman, "Characterizations of bounded mean oscillation" 77 : 587-588, 1971

    30 S. Shi, "Characterization of the central Campanato space via the commutator operator of Hardy type" 429 (429): 713-732, 2015

    31 Z. Fu, "Characterization for commutators of n-dimensional fractional Hardy operators" 50 (50): 1418-1426, 2007

    32 Z. Fu, "Cauchy-Szeg¨o commutators on weighted Morrey spaces" 296 (296): 1859-1885, 2023

    33 G. Gao, "Boundedness for commutators of n-dimensional rough Hardy operators on Morrey-Herz spaces" 64 (64): 544-549, 2012

    34 Z. Fu, "Boundedness for commutators of fractional Hardy operators in Herz spaces" 17 (17): 20-25, 2007

    35 R. Gong, "Boundedness and compactness of Cauchytype integral commutator on weighted Morrey spaces" 113 (113): 36-56, 2022

    36 M. Christ, "Best constants for two nonconvolution inequalities" 123 (123): 1687-1693, 1995

    37 F. Zhao, "A characterization of λ-central BMO space" 8 (8): 229-238, 2013

    38 L. Ji, "A characterization of the weak boundedness for commutators of Hardy-type operators on central Morrey spaces"

    39 M. Wei, "A characterization of CM O ⃗q via the commutator of Hardy-type operators on mixed Herz spaces" 101 (101): 5727-5742, 2022

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