共查询到19条相似文献,搜索用时 93 毫秒
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本文讨论了θ-型Calderón-Zygmund算子与BMO函数生成的交换子的加权估计.在权函数仅为非负局部可积函数或属于A∞的假设下,当0
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刘爽 《纯粹数学与应用数学》2012,(1):58-66,91
研究截口上的奇异积分高阶交换子Hbmf(x),利用截口F关于核的ki(x,y)估计,在一定假设下得到了Hbm的Sharp极大函数估计和加权弱(1,1)型估计. 相似文献
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Calderon-Zygmund奇异积分算子交换子在Herz型Hardy空间中的有界性 总被引:2,自引:0,他引:2
本文证明了交换子[6,T]在一类Herz型Hardy空间中的强型与弱型有界性估计,其中6∈BMO(Rn),T为Calderon-zygmund奇异积分算子。 相似文献
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某些算子和交换子在非齐型空间上的Morrey-Herz空间中的有界性 总被引:2,自引:0,他引:2
引入了非齐型空间上的齐次Morrey-Herz 空间和弱齐次Morrey-Herz空间并建立了Hardy-Littlewood极大算子,Calder\'on-Zygmund算子和分数次积分算子在齐次Morrey-Herz空间中的有界性以及在弱齐次Morrey-Herz空间中的弱型估计. 此外,还证明了$\rb$函数与Calder\'on-Zygmund算子或分数次积分算子生成的多线性交换子以及与Hardy-Littlewood极大算子相关的极大交换子在齐次Morrey-Herz空间中的有界性. 相似文献
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作者引入了非齐型空间上的弱Herz空间,并建立了一类次线性算子在这些空间中的弱型估计. 作为应用, 证明了由Calder\'on-Zygmund算子和$\os$函数生成的交换子在弱Herz空间中的弱型估计,其中$r\ge1$. 并且Orlicz空间$\os$当$r=1$时即为$\rb$空间;当$r>1$时为$\rb$的子空间. 相似文献
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本文证明了交换子[b,T]在一类Herz型Hardy空间中的强型与弱型有界性估计,其中b∈BMO(Rn),T为Calderón-Zygmund奇异积分算子. 相似文献
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T_b表示由加权Lipschitz函数b∈Lip_β(μ)(0β1)与Calderon-Zygmund奇异积分算子T生成的交换子.当μ∈A_1,n/(n+β)p≤1时研究了T_b在经典加权Hardy空间H~p(μ))上的有界性质,在端点p=n/(n+β)处研究了T_b在加权Hardy空间上的弱型估计. 相似文献
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O. G. Avsyankin 《Mathematical Notes》2018,104(3-4):331-338
Sufficient conditions for the compactness in generalized Morrey spaces of the composition of a convolution operator and the operator of multiplication by an essentially bounded function are obtained. Very weak conditions on the function are also obtained under which the commutator of the operator of multiplication by such a function and a convolution operator is compact. The compactness of convolution operators in domains of cone type is investigated. 相似文献
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刘宗光 《数学物理学报(B辑英文版)》2000,20(4)
1 IntroductionLgt b E BMO(Rn) and 11 be a fractional integration with 0 < I < n. The commutator[b, II] generated by b and 11 is defined by[b, II]f(x) = b(x)llf(x) ~ II(sf)(x).S.Chanillolz] stated that the operator [b, II] is a bounded operator from LPI (R") on LPZ(R")for 1/Pz = 1/pl -- l/n and 1 < pl < n/l. Recently, Lu Shanzhen and Yang Dachun[9] studiedthe commutator [b,ll] on Herz spaces and a new class of Herz-type Hardy spaces introducedby them and established the correspondi… 相似文献
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Pu Zhang 《数学学报(英文版)》2015,31(6):973-994
Let M be the multilinear maximal function and b =(b1,..., bm) be a collection of locally integrable functions. Denote by M b and [ b, M] the maximal commutator and the commutator of M with b, respectively. In this paper, the multiple weighted strong and weak type estimates for operators M b and [ b, M] are studied. Some characterizations of the class of functions bj are given, for which these operators satisfy some strong or weak type estimates. 相似文献
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In this paper, the weighted boundedness of parametric Marcinkiewicz integral and its commutator with rough kernels are considered. In addition, the weak type norm inequalities for parametric Marcinkiewicz integral and its commutator with different weight functions and Dini kernel are also discussed. 相似文献
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We know that in Ringel–Hall algebra of Dynkin type, the set of all skew commutator relations between the iso-classes of indecomposable modules forms a minimal Gr?bner–Shirshov basis,and the corresponding irreducible elements forms a PBW type basis of the Ringel–Hall algebra. We aim to generalize this result to the derived Hall algebra DH(A_n) of type A_n. First, we compute all skew commutator relations between the iso-classes of indecomposable objects in the bounded derived category D~b(A_n) using the Auslander–Reiten quiver of D~b(A_n), and then we prove that all possible compositions between these skew commutator relations are trivial. As an application, we give a PBW type basis of DH(A_n). 相似文献
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In this paper, the weak type LlogL estimate for the multilinear fractional commutator is obtained by introducing a new kind of maximal operator of the multilinear fractional order associated with the mean Luxumburg norm and using the technique of sharp function. 相似文献
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DING Yong LU Shanzhen & ZHANG PuDepartment of Mathematics Beijing Normal University Beijing China Department of Information Computing Science Zhejiang Institute of Science Technology Hangzhou China 《中国科学A辑(英文版)》2004,47(1):83-95
In this paper the authors give the weighted weak L logL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed. 相似文献