共查询到18条相似文献,搜索用时 150 毫秒
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用T和Dγ(0 ≤ γ ≤ 1)分别表示变量核奇异积分和分数次微分算子.T*和T#分别为T的共轭算子及拟共轭算子.利用球调和多项式展式,本文得到了TDγ-DγT和(T*-T#)Dγ在?q,λω(Rn)上的有界性.同时也得到了变量核奇异积分的积T1T2和拟积T1°T2的加权范不等式. 相似文献
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Salah MECHERI 《数学学报(英文版)》2023,(6):1147-1152
A bounded linear operator T on a complex Hilbert space H is called n-normal if T*Tn=TnT*.By Fuglede’s theorem T is n-normal if and only if Tn is normal.Let k,n∈ N.Then a bounded linear operator T is said to be of type Ⅰ k-quasi-n-normal if T*k{T*Tn-TnT*}Tk=0,and T is said to be of type Ⅱ k-quasi-n-normal if T*k{T*nTn-TnT*n... 相似文献
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T_b表示由加权Lipschitz函数b与Calderon-Zygmund奇异积分算子T生成的交换子.研究了T_b在加权Herz型Hardy空间上的有界性质,并在端点处证明了交换子是从加权Herz型Hardy空间到加权弱Herz空间的有界算子. 相似文献
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An operator T is called k-quasi-*-A(n) operator, if T*k|T1+n|2/(1+n)Tk ≥T*k|T* |2Tk , k ∈ Z, which is a generalization of quasi-*-A(n) operator. In this paper we prove some properties of k-quasi-*-A(n) operator, such as, if T is a k-quasi-*-A(n) operator and N(T )■N(T* ), then its point spectrum and joint point spectrum are identical. Using these results, we also prove that if T is a k-quasi-*-A(n) operator and N(T )■N(T ), then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum. 相似文献
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本文研究了混合勒贝格空间上双参数奇异积分算子的有界性.利用双参数奇异积分算子在勒贝格空间的有界性和一个向量值延拓理论.获得了双参数奇异积分算子在混合勒贝格空间上的端点弱估计和强型估计.并给出了乘积空间上非卷积型奇异积分算子的一个应用.这些结果将文献[3]中的结论推广到混合范数情形. 相似文献
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By characterizing Asplund operators through Fréchet differentiability property of convex functions, we show the following Bishop–Phelps–Bollobás theorem: Suppose that X is a Banach space,T : X → C(K) is an Asplund operator with ║T║= 1, and that x_0 ∈ S_X, 0 ε satisfy ║T(x_0)║ 1-ε~2/2.Then there exist x_ε∈ S_X and an Asplund operator S : X → C(K) of norm one so that ║S(x_ε)║ = 1, x_0-x_ε ε and ║T-S║ ε.Making use of this theorem, we further show a dual version of Bishop–Phelps–Bollobás property for a strong Radon–Nikodym operator T : ?_1 → Y of norm one: Suppose that y_0~*∈ S_(Y~*), ε≥ 0 satisfy T~*(y_0~*) 1-ε~2/2. Then there exist y_ε~*∈ S_(Y~*), x_ε∈(±e_n), y_ε∈ S_Y, and a strong Radon–Nikodym operator S : ?_1 → Y of norm one so that (ⅰ)║S(x_ε)║= 1;(ⅱ) S(x_ε) = y_ε;(ⅲ)║T-S║ ε;(ⅳ)║S~*(y_ε~*)║=y_ε~*, y_ε= 1;(ⅴ)║y_0~*-y_ε~*║ ε and (ⅵ)║T~*-S~*║ ε,where(e_n) denotes the standard unit vector basis of ?_1. 相似文献
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本文建立齐型空间上与奇异积分算子和BMO构成的交换子相应的极大算子的一个带一般权的加权L~p估计. 相似文献
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本文研究重调和Hardy空间h~2(Ω)上,Toeplitz算子的交换性,给出了h~2(T~2)上一个解析Toeplitz算子与另一个共轭解析Toeplitz算子交换的充分必要条件. 相似文献
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Shohei Nakamura 《Mathematische Nachrichten》2016,289(17-18):2235-2262
We introduce the notion of generalized weighted Morrey spaces and investigate the boundedness of some operators in these spaces, such as the Hardy–Littlewood maximal operator, generalized fractional maximal operators, generalized fractional integral operators, and singular integral operators. We also study their boundedness in the vector‐valued setting. 相似文献
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Let X be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, via a new Cotlar type inequality linking commutators and corresponding maximal operators, a weighted Lp(X) estimate with general weights and a weak type endpoint estimate with A1(X) weights are established for maximal operators corresponding to commutators of BMO(X) functions and singular integral operators with non-smooth kernels. 相似文献
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A Cotlar type inequality is established for the multilinear singular integral operators. As applications, some two-weight norm inequalities are obtained for the maximal operator corresponding to the multilinear singular integral operators. 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