共查询到20条相似文献,搜索用时 78 毫秒
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本文研究了关于广义Calderon-Zygmund核的多线性振荡奇异积分算子,给出了这类算子的Lp-有界性充分条件. 相似文献
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本文对由强奇异积分算子和加权Lipschitz函数生成的多线性交换子证明了其sharp极大函数估计,作为应用,得到了该多线性交换子的连续性. 相似文献
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加权Herz空间上交换子的有界性 总被引:1,自引:0,他引:1
旨在建立一大类由BMO函数和线性算子所生成交换了在另权Herz空间上的有界性,这些线性算子包括Calderon-Zygmund奇异积分算子,带有粗糙核的R.Fefferman型奇积分算子和带有粗糙核的Ricci-Stein-振荡奇异积分算子。 相似文献
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研究关于Calderon-Zygmund标准核的多线性振荡奇异积分算子,证明了这类算子的Lp-有界性. 相似文献
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本文研究了关于Calder幃n_Zygmund标准核的多线性振荡奇异积分算子 ,证明了这类算子加权Lp_有界性 相似文献
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研究Calderon-Zygmund奇异积分算子与BMO函数生成的多线性交换子,建立了其在加权Morrey-Herz型空间的有界性. 相似文献
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本文得到了具有混合齐次变量核的奇异积分算子的多线性交换子在广义Morrey空间和加权Lebesgue空间上的有界性. 相似文献
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Jamilson R. Campos 《Linear and Multilinear Algebra》2013,61(3):322-346
Considering the successful theory of multiple summing multilinear operators as a prototype, we introduce the classes of multiple Cohen strongly p-summing multilinear operators and polynomials. The adequacy of these classes under the viewpoint of the theory of multilinear and polynomial ideals and holomorphy types is discussed in detail. 相似文献
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Weighted Boundedness for a Class of Rough Multilinear Operators 总被引:8,自引:0,他引:8
In this paper we give the (L
p
(ω
p
), L
q
(ω
q
)) boundedness for a class of multilinear operators, which is simular to the higher-order commutator for the rough fractional
integral. In our results the kernel function is merely assumed on a size condition.
Received August 21, 2000, Accepted October 24, 2000 相似文献
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ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS 总被引:2,自引:1,他引:1
In this paper, we discuss the multilinear commutator of θ-type Calderón- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from Lp(Rn) to Lq(Rn), from Lp(Rn) to Triebel-Lizorkin spaces and on certain Hardy type spaces. 相似文献
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We establish sharp estimates for some multilinear commutators related to the Littlewood-Paley and Marcinkiewicz operators.
As an application, we obtain the weighted norm inequalities and L log L type estimate for the multilinear commutators.
相似文献
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Lanzhe Liu 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2010,45(4):185-196
Sharp function inequalities for several vector-valued, multilinear singular integral operators with non-smooth kernels are
obtained. As an application, some weighted L
p
(p > 1) norm inequalities for vector-valued multilinear operators are derived. 相似文献
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We obtain sharp estimates for some multilinear commutators related to certain sublinear integral operators. These operators
include the Littlewood-Paley operator and Marcinkiewicz operator. As an application, we obtain weighted L
p
(p > 1) inequalities and an L log L-type estimate for multilinear commutators.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 10, pp. 1419–1431, October, 2007. 相似文献
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Boundedness of Multilinear Operators in Herz-type Hardy Space 总被引:1,自引:0,他引:1
Let κ∈ℕ. We prove that the multilinear operators of finite sums of products of singular integrals on ℝn are bounded from HK
α1,p1
q1
(ℝn) ×···×HK
αk,pk
qk
(ℝn) into HK
α,p
q
(ℝn) if they have vanishing moments up to a certain order dictated by the target spaces. These conditions on vanishing moments
satisfied by the multilinear operators are also necessary when αj≥ 0 and the singular integrals considered here include the Calderón-Zygmund singular integrals and the fractional integrals
of any orders.
Received September 6, 1999, Revised November 17, 1999, Accepted December 9, 1999 相似文献
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D. Achour 《Journal of Mathematical Analysis and Applications》2007,327(1):550-563
In this paper, we introduce and study a new concept of summability in the category of multilinear operators, which is the Cohen strongly p-summing multilinear operators. We prove a natural analog of the Pietsch domination theorem and we compare the notion of p-dominated multilinear operators with this class by generalizing a theorem of Bu-Cohen. 相似文献
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兰家诚 《纯粹数学与应用数学》2004,20(4):317-322,326
通过相关的分数次积分算子的性质,证明了一类多线性算子在Hardy空间上的(Hp,Lp)有界性,得到一种简明的方法. 相似文献
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A sharp inequality for a multilinear commutator related to the Marcinkiewicz operator is proved. As a consequence, weighted
Lp-norm inequality for the multilinear commutator for 1 < p < ∞ is obtained. Bibliography: 12 titles.
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 333, 2006, pp. 86–97. 相似文献