共查询到20条相似文献,搜索用时 62 毫秒
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文中我们证明了一类由Calderón-Zygmund奇异积分算子生成的从乘积空间Lp1(Rn)×Lp2(Rm)×…×LpJ(Rn)到各向异性Hardy空间Hq(Rn)和各向异性弱Hardy空间Hq,∞(Rn)的多线性算子是有界的.作为上述结果的应用,得到了一类由Calderón-Zygmund奇异积分算子和各向异性BMO函数生成的交换子Lp(1
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Let fi be a bounded smooth domain. In this paper, the authors define the Besov spaces Bpa,p on , establish the atomic decomposition of these spaces, and obtain the regularity estimate of the Dirichlet problem and the Neumann problem for the Laplace operator on these spaces. 相似文献
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Let μ be a nonnegative Radon measure on Rd,which only satisfies the poly-nomial growth condition.Under this assumption,the authors obtain some weighted weak-type estimates for the commutators generated by the multilinear Calder'on-Zygmund operators and RBMO(μ) functions. 相似文献
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In this paper, we give some creative characterizations of Campanato spaces via the boundedness of commutators associated with the Calder ′on-Zygmund singular integral operator, fractional integrals and Hardy type operators. Furthermore, we put forward a few problems on the characterizations of Campanato type spaces via the boundedness of commutators. 相似文献
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齐次Morrey-Herz空间上粗糙核高阶交换子的有界性 总被引:3,自引:0,他引:3
在齐次Morrey-Herz空间上建立了由粗糙核算子T与BMO(R~n)函数生成的高阶交换子T_(b,m)的有界性.同时对Hardy-Littlewood极大粗糙算子和相应的分数次极大粗糙算子所生成的高阶交换子也得到了相应的结果. 相似文献
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默会霞 《数学物理学报(B辑英文版)》2010,30(3):897-906
Let G be a homogeneous group. The author considers the boundedness of commutators generated by the generalized Hardy operators and CMO(G) functions on Herz spaces in the setting of homogeneous group. This article extends some known results. 相似文献
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In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderón-Zygmund operators with RB MO(μ) functions on non-homogeneous metric measure spaces is obtained. 相似文献
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本文研究了带粗糙核的奇异积分算子与BMO函数生成的交换子的有界性问题.利用原子分解的方法,获得了带粗糙核的奇异积分交换子TΩb在Lp空间、Hardy空间、弱Hardy空间上的有界性结果,推广了交换子Tb在各类函数空间上有界性的结果. 相似文献
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