共查询到20条相似文献,搜索用时 31 毫秒
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田茂茜 《纯粹数学与应用数学》2011,27(5):622-627
利用齐型空间中的覆盖引理及其有界区域的二进方体分解得到了分数次Orlicz极大算子在齐型空间(X,d,μ)中的有界区域Ω上的局部加权端点估计.该工作为分数次积分交换子[b,Iα】在欧式空间R^n中的有界区域上的加权端点弱型估计推广到齐型空间奠定了基础. 相似文献
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Vagif S. Guliyev Yagub Y. Mammadov 《Journal of Mathematical Analysis and Applications》2009,353(1):449-459
In this paper we obtain necessary and sufficient conditions on the parameters for the boundedness of the Dunkl-type fractional maximal operator Mβ, and the Dunkl-type fractional integral operator Iβ from the spaces Lp,α(R) to the spaces Lq,α(R), 1<p<q<∞, and from the spaces L1,α(R) to the weak spaces WLq,α(R), 1<q<∞. In the case , we prove that the operator Mβ is bounded from the space Lp,α(R) to the space L∞,α(R), and the Dunkl-type modified fractional integral operator is bounded from the space Lp,α(R) to the Dunkl-type BMO space BMOα(R). By this results we get boundedness of the operators Mβ and Iβ from the Dunkl-type Besov spaces to the spaces , 1<p<q<∞, 1/p−1/q=β/(2α+2), 1?θ?∞ and 0<s<1. 相似文献
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In this paper, we obtain the boundedness of the fractional integral operators, the bilinear fractional integral operators and the bilinear Hilbert transform on α-modulation spaces. 相似文献
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In the present paper we obtain and extend the boundedness property of the Adams type for multilinear fractional integral operators. Also, we deal with the Olsen type inequality. 相似文献
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令 1 p ∞ ,0 0 ,K为局部域 .本文将着重讨论一类线性分数次积分算子在 Herz空间K (α,p,l;K )上的有界性 相似文献
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In this paper,we obtain that b∈ BMO(R~n) if and only if the commutator[b,I_α]is bounded from the Morrey spaces L~(p_1,λ_1)(R~n)×L~(p_2,λ_2)(R~n) to L~(q,λ)(R~n),for some appropriate indices p,q,λ,μ.Also we show that b ∈ Lip_β(R~n) if and only if the commutator[b,I_α]is bounded from the Morrey spaces L~(p_1,λ_1)(R~n)×L~(p_2,λ_2)(R~n) to L~(q,λ)(R~n),for some appropriate indices p,q,λ,μ. 相似文献
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假设 β1 > 3α1 > 0, β2 > 3α2 > 0,给定函数f(x) ∈ S(R3), 定义算子Tα,β如下:Tα,βf(x,y,z) = p.v.ZTQ2f(x- t, y-s, z-γ(t)h(s)) e-2πit-β1 s-β2/t1+α1 s1+α2dtds.本文主要考虑如上定义的算子Tα,β在Lebesgue空间Lp(R3)及Wiener共合空间W(FLp, Lq)(R3)上的有界性. 这里 Q2 = [0, 1] × [0, 1], γ(t), h(s)满足适当的条件.作为应用, 本文还考虑了带粗糙核的奇异积分算子在乘积空间上的有界性. 相似文献
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R. Oinarov 《Siberian Mathematical Journal》2007,48(5):884-896
We introduce some nested classes of Volterra type integral operators. For the operators of these classes we establish criteria for boundedness and compactness in Lebesgue spaces. 相似文献
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Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type 总被引:5,自引:1,他引:4
Osvaldo GOROSITO Gladis PRADOLINI Oscar SALINAS 《数学学报(英文版)》2007,23(10):1813-1826
We obtain weighted distributional inequalities for multilinear commutators of the fractional integral on spaces of homogeneous type, The techniques developed in this work involve the behavior of some fractional maximal functions. In relation to these operators, as a main tool, we prove a weighted weak type boundedness result, which is interesting in itself. 相似文献
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首先引入了一个新空间—局部紧Vilenkin群G上弱齐次Morrey-Herz空间WMK_(p,q)~(α,λ)(G),然后在WMK_(p,q)~(α,λ)(G)上讨论了一些奇异积分算子和分数次奇异积分算子的有界性问题. 相似文献
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For α>0, we study the singular integral operators TΩ,α and the Marcinkiewicz integral operator μΩ,α. The kernels of these operators behave like |y|−n−α near y=0, and contain a distribution Ω on the unit sphere Sn−1. We prove that if Ω∈Hr(Sn−1)(r=(n−1)/(n−1+α)) satisfying certain cancellation condition, then both TΩ,α and μΩ,α can be extend to be the bounded operators from the Sobolev space to the Lebesgue space Lp(Rn). The result improves and extends some known results. 相似文献
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We establish the similarity between certain Volterra integral operators and the Riemann--Liouville fractional integration operator as well as the existence of a triangular transformation operator for integro-differential equations of fractional order. The results obtained are consistent with similar results for the case of integer order. 相似文献
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In this note,we prove that the Toeplitz-type Operator Θ b α generated by the generalized fractional integral,Calderón-Zygmund operator and VMO funtion is bounded from L p,λ (R n) to L q,μ (R n).We also show that under some conditions Θαb f ∈ V L q,μ (B R),the vanishing-Morrey space. 相似文献
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In this paper, we prove the boundedness from H1(Rn) to L n/n-α ,∞(Rn) for the multilinear fractional integral operator with rough kernel related to the mi-th remainder of Taylor series of Ai at x about y for i = 1,2, ,l. 相似文献
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In this paper we give the conditions on the pair (ω
1, ω
2) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized
Morrey space Mp,w1 \mathcal{M}_{p,\omega _1 } to another Mp,w2 \mathcal{M}_{p,\omega _2 }, 1 < p < g8, and from the space M1,w1 \mathcal{M}_{1,\omega _1 } to the weak space WM1,w2 W\mathcal{M}_{1,\omega _2 }. 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