COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS 被引量：1

COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS

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摘要 Let G be a homogeneous group. The author considers the boundedness of commutators generated by the generalized Hardy operators and CMO（G） functions on Herz spaces in the setting of homogeneous group. This article extends some known results. Let G be a homogeneous group. The author considers the boundedness of commutators generated by the generalized Hardy operators and CMO（G） functions on Herz spaces in the setting of homogeneous group. This article extends some known results.

作者默会霞

机构地区 School of Science

出处《Acta Mathematica Scientia》 SCIE CSCD 2010年第3期897-906,共10页 数学物理学报（B辑英文版）

基金 Supported by Chinese Universities Scientific Fund(2009RC0703 of BUPT) the NNSF of China (10871024)

关键词 Homogeneous group CMO（G） function Herz space generalized Hardy operator Homogeneous group CMO（G） function Herz space generalized Hardy operator

分类号 O177 [理学—数学]

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参考文献2

1Yin Sheng JIANG Department of Mathematics. Xinjiang University, Urumqi, 830046, P. R. China.New Hardy Spaces Associated with Herz Spaces and Beurling Algebras on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2002,18(4):661-670. 被引量：8
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二级参考文献8

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共引文献47

1Yin Sheng JIANG,Ming Ju LIU,Lin TANG.Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2005,21(3):577-584.
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同被引文献5

1Zun-wei FU~(1,2) Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin WANG~3 ~1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China,~2 Department of Mathematics,Linyi Normal University,Linyi 276005,China,~3 Department of Mathematics,China University of Mining and Technology (Beijing),Beijing 100083,China.Characterization for commutators of n-dimensional fractional Hardy operators[J].Science China Mathematics,2007,50(10):1418-1426. 被引量：41
2Lu Shanzhen and Yang Dachun (Beijing Normal University, China).THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS[J].Analysis in Theory and Applications,1995,11(3):72-94. 被引量：50
3ZHAO FaYou,FU ZunWei,LU ShanZhen.Endpoint estimates for n-dimensional Hardy operators and their commutators[J].Science China Mathematics,2012,55(10):1977-1990. 被引量：21
4WANG ShiMo,LU ShanZhen,YAN DunYan.Explicit constants for Hardy’s inequality with power weight on n-dimensional product spaces[J].Science China Mathematics,2012,55(12):2469-2480. 被引量：14
5Fayou ZHAO,Shanzhen LU.A characterization of λ-central BMO space[J].Frontiers of Mathematics in China,2013,8(1):229-238. 被引量：3

引证文献1

1陆善镇.n维Hardy算子的一些新进展(英文)[J].数学进展,2013,42(6):737-747. 被引量：4

二级引证文献4

1Haixia YU,Junfeng LI.Sharp weak bounds for n-dimensional fractional Hardy operators[J].Frontiers of Mathematics in China,2018,13(2):449-457. 被引量：1
2Shengrong Wang,Jingshi Xu.Commutators of Bilinear Hardy Operators on Two Weighted Herz Spaces with Variable Exponents[J].Analysis in Theory and Applications,2021,37(3):387-403. 被引量：1
3魏明权,燕敦验.Hardy型算子在径向——角向混合空间上的最佳界[J].数学进展,2024,53(1):151-161.
4王瑶瑶,吕玫钏,李文明.高维Hardy算子及其交换子的双权不等式[J].数学物理学报（A辑）,2024,44(3):539-546.

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9Yin Sheng JIANG Department of Mathematics. Xinjiang University, Urumqi, 830046, P. R. China.New Hardy Spaces Associated with Herz Spaces and Beurling Algebras on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2002,18(4):661-670. 被引量：8
10ZHU Xiang-rong,CHEN Jie-cheng.Integrability of the general product Hardy operators on the product Hardy spaces[J].Applied Mathematics(A Journal of Chinese Universities),2012,27(2):225-233. 被引量：9

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