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1.
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
2.
V.M. Kokilashvili 《Journal of Mathematical Analysis and Applications》2009,352(1):15-34
Last years there was increasing an interest to the so-called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on homogeneous spaces, we develop a certain variant of Rubio de Francia's extrapolation theorem. This extrapolation theorem is applied to obtain the boundedness in such spaces of various operators of harmonic analysis, such as maximal and singular operators, potential operators, Fourier multipliers, dominants of partial sums of trigonometric Fourier series and others, in weighted Lebesgue spaces with variable exponent. There are also given their vector-valued analogues. 相似文献
3.
In this paper,on homogeneous groups,we study the Littlewood–Paley operators in variable exponent spaces.First,we prove that the weighted Littlewood–Paley operators are controlled by the weighted Hardy–Littlewood maximal function,and obtain the vector-valued inequalities of the Littlewood–Paley operators,including the Lusin function,Littlewood–Paley g function and gλ* function.Second,we prove the boundedness of multilinear Littlewood–Paley gψ,λ* function. 相似文献
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本文研究了带变量核的Marcinkiewicz算子交换子的有界性问题.利用其在Lp(ω)空间上有界的方法,获得了该交换子在加权Herz空间上有界的结果. 相似文献
5.
Gladis Pradolini 《Journal of Mathematical Analysis and Applications》2010,367(2):640-656
In this article we prove weighted norm inequalities and pointwise estimates between the multilinear fractional integral operator and the multilinear fractional maximal. As a consequence of these estimations we obtain weighted weak and strong inequalities for the multilinear fractional maximal operator or function. In particular, we extend some results given in Carro et al. (2005) [7] to the multilinear context. On the other hand we prove weighted pointwise estimates between the multilinear fractional maximal operator Mα,B associated to a Young function B and the multilinear maximal operators Mψ=M0,ψ, ψ(t)=B(t1−α/(nm))nm/(nm−α). As an application of these estimate we obtain a direct proof of the Lp−Lq boundedness results of Mα,B for the case B(t)=t and Bk(t)=tk(1+log+t) when 1/q=1/p−α/n. We also give sufficient conditions on the weights involved in the boundedness results of Mα,B that generalizes those given in Moen (2009) [22] for B(t)=t. Finally, we prove some boundedness results in Banach function spaces for a generalized version of the multilinear fractional maximal operator. 相似文献
6.
Bochner—Riesz算子交换子在加权Morrey空间上的有界性 总被引:1,自引:0,他引:1
运用了Sharp极大函数估计的方法证明了当权函数满足一定条件时,Bochner~Riesz算子与加权BMO函数生成的交换子在加权Morrey空间上的有界性. 相似文献
7.
We investigate the weighted composition operator from the weighted Bergman space into the weighted Hardy space on the unit ball. As a consequence of the investigation, we also give a characterization for the boundedness and compactness of the operator whose the target space is the Hardy space. 相似文献
8.
Nguyen Minh Chuong Ha Duy Hung Nguyen Thi Hong 《P-Adic Numbers, Ultrametric Analysis, and Applications》2016,8(1):31-44
In this paper we aim to investigate the boundedness of the p-adic weighted Hardy-Cesàro operators and their commutators on weighted functional spaces of Morrey type. In each case, we obtain the corresponding operator norms. 相似文献
9.
设T 是一个Calderón-Zygmund 奇异积分算子. 本文将采用统一的Sharp 极大函数估计的方法来证明当权函数w 满足一定条件时, 交换子[b, T] 在加权Morrey 空间Lp,k(w) 上的有界性质, 其中符号b 属于加权BMO 空间、Lipschitz 空间和加权Lipschitz 空间. 相似文献
10.
We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete boundedness results between well known fractional Sobolev spaces are derived as consequences of our main result. We also apply our boundedness results by studying both generalized neighbourhood capacities and the Lebesgue differentiation of fractional weighted Sobolev functions. 相似文献
11.
We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k(p,q)space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given. 相似文献
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14.
We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights. 相似文献
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16.
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
17.
研究了加权Bloch型空间上的广义复合算子的有界性和紧性,得到了刻画该算子为有界和紧的一些充分必要条件. 相似文献
18.
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
19.
In this paper, we obtain some boundedness on the weighted Lebesgue spaces and the weighted Hardy spaces for the parametrized Littlewood-Paley operators with the kernel Ω satisfying the logarithmic type Lipschitz conditions. 相似文献
20.
We introduce the p-adic weighted multilinear Hardy-Cesàro operator. We also obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of Lebesgue spaces, Morrey spaces, and central bounded mean oscillation spaces. In each case, we obtain the corresponding operator norms. We also characterize the good weights for the boundedness of the commutator of weighted multilinear Hardy-Cesàro operator on the product of central Morrey spaces with symbols in central bounded mean oscillation spaces. 相似文献