共查询到12条相似文献,搜索用时 5 毫秒
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Let m be an integer and T be an m-linear Calderón-Zygmund operator, u, v1,..., vm be weights. In this paper, the authors give some sufficient conditions on the weights (u, vk) with 1 ≤ k ≤ m, such that T is bounded from Lp1(Rn, v1) × ··· × Lpm(Rn, vm) to Lp,∞(Rn, u). 相似文献
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For the commutators of multilinear Calder ′on-Zygmund singular integral operators with B MO functions, the weak type weighted norm inequalities with respect to A~P weights are obtained. 相似文献
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胡国恩 《数学物理学报(B辑英文版)》2012,(4):1529-1544
In this paper, some weighted estimates with general weights are established for the m-linear Caldern-Zygmund operator and the corresponding maximal operator. It is proved that, if p1 , ··· , pm ∈ [1, ∞] and p ∈ (0, ∞) with 1/p = ∑m k=1 1/pk , then for any weight w, integer ■with 1 ≤■≤ m, these operators are bounded from L p 1 (Rn , MBw) ×···× Lp■(Rn , MBw) × Lp +1 (Rn , Mw) ×···× Lp m (Rn , Mw) to Lp, ∞ (R n , w) or L p (R n , w), where B is a Young function and M B is the maximal operator associated with B. 相似文献
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This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces Hp(Rn). We use wavelet characterization of Hp(Rn) to show that a Calderón-Zygmund operator T with T*1 = 0 is bounded on Hp(Rn), n/n+ε p ≤ 1, where ε is the regular exponent of kernel of T . This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization. 相似文献
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In this paper, the authors establish the boundedness of the multilinear Calderón-Zygmund operator from products of Hardy spaces into Hardy spaces. 相似文献
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CHEN Shu-quan SHU Li-sheng 《数学季刊》2007,(4)
In this paper,we will discuss the boundedness of θ-type Calderón-Zygmund operator on weighted Herz-type Hardy spaces. 相似文献
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Guo Qiang PENG 《数学研究与评论》2010,30(2)
A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel,which was introduced by Coifman and Meyer.As applications,the mapping properties on weighted L~(P1)(R~n)×…×L~(Pm)(R~n)with weight MBω for certain maximal operator MB and general weight ω,and a two-weight weighted norm estimate for this operator,are obtained. 相似文献
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广义Calderón-Zygmund算子交换子的有界性 总被引:1,自引:0,他引:1
讨论了广义Calderón-Zyginund算子与Lipschitz函数生成的交换子在Lebe-sgue空间及Hardy空间上的有界性,同时得到了其端点估计. 相似文献
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HU GuoEn & LU ShanZhen 《中国科学 数学(英文版)》2011,(3)
In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels. 相似文献