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COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS 被引量:1
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作者 默会霞 《Acta Mathematica Scientia》 SCIE CSCD 2010年第3期897-906,共10页
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 ex... 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. 展开更多
关键词 Homogeneous group CMO(G) function Herz space generalized Hardy operator
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Boundedness of Fractional Maximal Operators on Some of Homogeneous Groups
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作者 王杰 陈丙康 张建林 《Journal of Beijing Institute of Technology》 EI CAS 2004年第4期449-453,共5页
Let M α be the fractional maximal operators (0<α≤1) and (u,v) a pair of weight functions, u∈D ∞, σ=v~~~~^(-1/(p-1))∈A ∞. The boundedness of M α on some homogenous groups (G, ‖·‖, dx) and the cov... Let M α be the fractional maximal operators (0<α≤1) and (u,v) a pair of weight functions, u∈D ∞, σ=v~~~~^(-1/(p-1))∈A ∞. The boundedness of M α on some homogenous groups (G, ‖·‖, dx) and the covering Lemma of Calderon-Zygmund type are studied. Not only an adequate covering Lemma of Calderon-Zygmund type is shown, but also the boundedness of fractional maximal operators M α(0<α≤1) on some of homogeneous groups with respect to a given pair of weight functions (u,v) as above is proved. Moreover, a sufficient and necessary condition for M α∈B(u^qdx, v~~pdx), 0<α<1, 1<p<1α, and 1q=1p-α is also given. Finally, an application of the results is also obtained. 展开更多
关键词 BOUNDEDNESS fractional maximal operator homogeneous groups weight functions
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MAXIMAL CHARACTERIZATIONS OF HERZ TYPE HARDY SPACES ON HOMOGENEOUS GROUPS
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作者 Yinsheng Jiang Lin Tang 《Analysis in Theory and Applications》 2005年第4期301-310,共10页
In this paper, the authors establish some characterizations of Herz-type Hardy spaces HKq^α,P(G) and HKq^α,P(G), where 1 〈 q 〈 ∞, Q(1 - 1/q) ≤ α 〈 ∞, 0 〈 p 〈 ∞ and G denotes a gfaded homogeneous Lie ... In this paper, the authors establish some characterizations of Herz-type Hardy spaces HKq^α,P(G) and HKq^α,P(G), where 1 〈 q 〈 ∞, Q(1 - 1/q) ≤ α 〈 ∞, 0 〈 p 〈 ∞ and G denotes a gfaded homogeneous Lie group. 展开更多
关键词 homogeneous group Hardy space Herz space maximal functions
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Boundedness of Multilinear Singular Integral Operators on Homogeneous Groups
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作者 林燕 《Northeastern Mathematical Journal》 CSCD 2007年第6期505-512,共8页
Let G be a homogeneous group. In this paper, the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G. As its special case, the corresponding result of multilinea... Let G be a homogeneous group. In this paper, the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G. As its special case, the corresponding result of multilinear Calderon-Zygmund operators can be obtained. 展开更多
关键词 homogeneous group weighted Lebesgue space multilinear Calderon-Zygmund operator
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An Exploration of Teaching Class of Mixed Ability 被引量:1
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作者 DUAN Lifang SHI Yun WANG Yiyun 《Sino-US English Teaching》 2020年第4期118-123,共6页
There has been a long time of debate between the two teaching approaches of homogenous grouping and heterogeneous grouping.Here in the essay,we explored both of the two teaching approaches in Yunnan Province of China ... There has been a long time of debate between the two teaching approaches of homogenous grouping and heterogeneous grouping.Here in the essay,we explored both of the two teaching approaches in Yunnan Province of China whereas the puzzle lies in the question of which method can achieve a relatively-better result in English classes of Yunnan.Some possible solutions are promoted based on the data and analysis collected from a survey. 展开更多
关键词 mixed ability homogenous grouping heterogeneous grouping English teaching
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People with Disabilities: Some Analyzes of the Results of the 2010 Population Census and New Challenges
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作者 Paulo Tadeu Meira e silva de Oliveira 《Journal of Mathematics and System Science》 2014年第4期231-243,共13页
In his work, was applied crossings between pairs of variables, homogeneity test and technical exhaustive AID (Automatic Interaction Detection) for formation of groups second sample each of the following deficiencies... In his work, was applied crossings between pairs of variables, homogeneity test and technical exhaustive AID (Automatic Interaction Detection) for formation of groups second sample each of the following deficiencies: see, listen, move and intellectual from database obtained from the 2010 Population Census data sample (respondents Complete Questionnaire) formed by 20,635,472 people interviewed all over the country with the objective of studying relationship between different variables such as disability, level of education, gender, income in minimum wages among others. 展开更多
关键词 Exhaustive automatic interaction detection homogeneity test homogeneous groups
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New Hardy Spaces Associated with Herz Spaces and Beurling Algebras on Homogeneous Groups 被引量:8
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作者 Yin Sheng JIANG Department of Mathematics. Xinjiang University, Urumqi, 830046, P. R. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第4期661-670,共10页
The author introduces the Hardy spaces associated with the Herz spaces and the Beurling algebras on homogeneous groups and establishes their atomic decomposition characterizations. As the applications of this decompos... The author introduces the Hardy spaces associated with the Herz spaces and the Beurling algebras on homogeneous groups and establishes their atomic decomposition characterizations. As the applications of this decomposition, the duals of these Hardy spaces and the boundedness of the central δ-Calderon-Zygmund operators on these Hardy spaces are studied. 展开更多
关键词 Homogeneous group Hardy spaces Herz spaces Beurling algebras Central atoms
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Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups
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作者 Yin Sheng JIANG Ming Ju LIU Lin TANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期577-584,共8页
Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established.
关键词 Kernels of type (l r) Homogeneous group Power weight Herz-type space
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Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups
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作者 TANG Sufang WEI Na 《Journal of Partial Differential Equations》 2010年第1期1-15,共15页
In this paper, by establishing the boundedness of singular integral operators with variable kernels and their commutators with BMO functions on Morrey spaces of homogeneous groups, we prove a local a prior estimate in... In this paper, by establishing the boundedness of singular integral operators with variable kernels and their commutators with BMO functions on Morrey spaces of homogeneous groups, we prove a local a prior estimate in Sobolev-Morrey space for solutions to the nondivergence parabolic equation with discontinuous coefficients. 展开更多
关键词 Homogeneous group parabolic equation VMO singular integral commutator.
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