共查询到20条相似文献,搜索用时 15 毫秒
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令(X,d,μ)为满足所谓上倍双倍条件和几何双倍条件的度量测度空间.设Mβ,ρ,q为(X,d,μ)上的分数型Marcinkiewicz积分算子.在本文中,作者证明了若β ∈[0,∞),ρ ∈(0,∞),q ∈(1,∞)且Mβ,ρ,q在L2(μ)上有界,则Mβ,ρ,q是从加权Lebesgue空间Lp(w)到加权弱Lebesgue空间Lp,∞(w)上有界和从加权Morrey空间Lp,κ,η(ω)到加权弱Morrey空间WLp,κ,η(ω)上有界. 相似文献
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研究了多线性分数次积分算子的迭代型交换子,给出了双权强型不等式的充分条件,即Fefferman -Phong型条件.对此迭代型交换子,还给出了Fefferman-Stein型加权不等式和Coifman型加权不等式. 相似文献
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Yuexiang He 《分析论及其应用》2017,33(3)
Let T_1 be a singular integral with non-smooth kernel or ± I, let T_2 and T_4 be the linear operators and let T_3= ±I. Denote the Toeplitz type operator by T~b= T_1M~bI_αT_2+T_3I_αM~bT_4,where M~bf=bf, and I_α is the fractional integral operator. In this paper, we investigate the boundedness of the operator T~b on the weighted Morrey space when b belongs to the weighted BMO space. 相似文献
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设T是由Grubb和Moore引入的一类奇异积分算子,它的核满足一种新型利普希茨正则性.T*是由T确定的极大奇异积分算子.本文通过建立与T和T*相关的grand极大算子的弱型端点估计,得到了算子T和T*在加权空间的由Ap权常数表示的界的估计和弱型端点估计. 相似文献
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In this paper, we prove Lp-boundedness of hyperbolic singular integral operators for kernels satisfying weakened regularity conditions, where 1
相似文献
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本文证明了与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子的sharp极大函数估计,做为应用,得到了该算子在Morrey空间的有界性. 相似文献
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本文在指数函数的正则性自然假设下,建立了变指数加权Herz-Morrey空间上分数次积分算子及其交换子的有界性.从而得到了变指数加权Herz空间上的一个结果. 相似文献
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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 Calderón-Zygmund operators can be obtained. 相似文献
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Suppose Tk,1 and Tk,2 are singular integrals with variable kernels and mixed homogeneity or ± I(the identity operator). Denote the Toeplitz type operator by Tb=∑Qk=1Tk,1MbTk,2,where Mbf=bf. In this paper, the boundedness of Tbon weighted Morrey space are obtained when b belongs to the weighted Lipschitz function space and weighted BMO function space, respectively. 相似文献
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本文建立由Grafakos和Torrea引进的多线性Calder(o)n-Zygmund算子相关极大算子的加权Lp(RN)估计和弱端点估计. 相似文献
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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 Calderón-Zygmund operators can be obtained. 相似文献
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Weighted Boundedness for Generalized Maximal andSingular Integral Operators in Orlicz-Morrey Spaces 总被引:1,自引:0,他引:1
51.IntroductionTheweightedboundednessformaximalandsingularintegraloperatorsonLp(p>1)andBMofunctionspacesarenowunderstood(see[lj)-AsMorreyspacemaybeconsideredasanextensionofthespaces,itisnaturalandimportanttostudytheweightedbou11dednessformax-imalandsingularintegraloperatorsonMorreyspaces.Thepurposeofthispaperistostu`lythequestion,theweightedboundednessfortheoperatorsinOrlicz-Morreyspacesareobtained,andthecharacterizationsfornon-weightedboundednessofmaximaloperatorarealsoobtained.Someworkint… 相似文献
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In this paper, weighted estimates with general weights are established for the multilinear singular integral operator defined by TAf(x) = p. v.RnΩ(x- y)|x- y|n+1 A(x)- A(y)- A(y)(x- y) f(y)dy,where Ω is homogeneous of degree zero, has vanishing moment of order one, and belongs to Lipγ(Sn-1) with γ∈(0, 1], A has derivatives of order one in BMO(Rn). 相似文献
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In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized weighted Morrey spaces. And the corresponding commutators generated by BMO function are also considered. 相似文献
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Qi Zhang & Jiman Zhao 《分析论及其应用》2020,36(2):200-216
In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained. 相似文献
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Weighted estimates with general weights are established for the maximal operator associated with the commutator generated by singular integral operator and BMO function on spaces of homogeneous type, where the associated kernel satisfies the HSlder condition on the first variable and some condition which is fairly weaker than the Holder condition on the second variable. 相似文献
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设D是复空间C中的单位圆盘,ψ是D到自身的一个全纯映射,ψ(z)是D上的全纯函数,0<α<1.本文给出了单位圆盘中Lipschitz空间Lipa(D)上由ψ和ψ诱导的加权复合算子Wψ,ψ的有界性及紧性的充要条件. 相似文献