共查询到20条相似文献,搜索用时 468 毫秒
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本文研究了具有广义Calderón-Zygmund核的多线性奇异积分极大算子和多线性振荡奇异积分极大算子,证明了这类极大算子的Lp-有界性. 相似文献
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兰家诚 《数学年刊A辑(中文版)》2005,(6)
本文研究了具有广义Calderon-Zygmund核的多线性奇异积分极大算子和多线性振荡奇异积分极 大算子,证明了这类极大算子的Lp-有界性. 相似文献
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研究了θ型Calderón-Zygmund核的多线性奇异积分极大算子,证明了这类极大算子的Lp-有界性. 相似文献
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研究沿复合曲线的粗糙核参数型Marcinkiewicz积分算子,在积分核满足相当弱的尺寸条件下,建立了这些算子的L~p有界性.作为应用,相应于面积积分和Littlewood-Paley-g_λ~*函数的参数型Marcinkiewicz积分算子的L~p有界性也被给出. 相似文献
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研究了$\theta$型Calderon-Zygmund核的多线性奇异积分极大算子, 证明了这类极大算子的$L^{p}$-有界性. 相似文献
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Marcinkiewicz积分是分析中的一类被广泛研究的重要算子.利用Marcinkiewicz积分算子μΩ与Lipschitz函数b生成的交换子μΩ,b在加权L~p空间上的有界性,研究了它在加权Morrey空间上的有界性. 相似文献
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研究与强奇异Calderón-Zygmund算子和Lipschitz函数6∈ΛA_(βO)(R~n)相关的Toeplitz型算子T_b(f)从L~p(R~n)到L~q(R~n)的有界性和L~p(R~n)到Triebel- Lizorkin空间F(_p~(βO,∞))的有界性,1/q=1/p-βO/n.得到广义Toeplitz型算子Θ(_(αO)~b)是L~p(R~n)到L~q(R~n)有界的,1/q=1/p-(αO βO)/n.上述结果包含相应交换子的有界性.同时还得到与强奇异Calderón-Zygmund算子和BMO函数b相关的Toeplitz型算子T_b(f)的L~p(R~n)有界性,1<p<∞. 相似文献
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作者对由 R Fefferman 引进的一类广义奇异积分建立了 L~p 有界性的某些结果.这类奇异积分的核是相当粗糙的.它取 (?)(t)h(t)/|t|~(?)的形式,其中 h为一有界的径向函数,而Ω属于某种由块生成的空间. 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
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<Emphasis Type="Italic">L</Emphasis><Superscript><Emphasis Type="Italic">p</Emphasis></Superscript> estimates of rough maximal functions along surfaces with applications 下载免费PDF全文
In this paper, we study the Lp mapping properties of certain class of maximal oscillatory singular integral operators. We prove a general theorem for a class of maximal functions along surfaces. As a consequence of such theorem, we establish the Lp boundedness of various maximal oscillatory singular integrals provided that their kernels belong to the natural space Llog L(Sn-1). Moreover, we highlight some additional results concerning operators with kernels in certain block spaces. The results in this paper substantially improve previously known results. 相似文献
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This paper is devoted to studying maximal singular integrals and Marcinkiewicz integrals with rough kernels in a mixed homogeneity setting. Assuming that the kernels satisfy certain rather weak size conditions, the boundedness of such operators on the mixed radial-angular spaces are established, respectively. Meanwhile, the corresponding vector-valued versions are also given. 相似文献
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《数学学报》2013,(5)
<正>Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces Feng LIU Huo Xiong WU Abstract In this paper,the parabolic Marcinkiewicz integral operators on the product spaces Rm×Rm×Rn(m,n≥2)are studied.The Ln(m,n≥2)are studied.The Lp-boundedness for such operators are established under rather weak size conditions of the kernels,which essentially improve or extend certain previous results. 相似文献
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我们引入了带非光滑核的多线性Marcinkiewicz积分算子.设p_1,…,p_m∈(1,∞)和p∈(0,+∞)满足1/p_1+…+1/p_m=1/p,记P=(p_1,…,p_m),又设向量权ω=(ω_1,…,ω_m)∈A_p和v_ω=Π_(k=1)~mω_k~(p/pk),得到了Marcinkiewicz积分算子从L~(p_1)(ω_1)×…×L~(p_m)(ω_m)到L~p(v_ω)的常数界. 相似文献
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Hong Hai Liu 《数学学报(英文版)》2012,28(11):2227-2242
In this paper, the author studies the mapping properties for some general maximal operators and singular integrals on certain function spaces via Fourier transform estimates. Also, some concrete maximal operators and singular integrals are studied as applications. 相似文献
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In this paper, the authors study the mapping properties of singular integrals on product domains with kernels in L(log+L)ε(Sm-1 × Sn-1) (ε = 1 or 2) supported by hyper-surfaces. The Lp bounds for such singular integral operators as well as the related Marcinkiewicz integral operators are established, provided that the lower dimensional maximal function is bounded on Lq(R3) for all q > 1. The condition on the integral kernels is known to be optimal. 相似文献
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This study establishes the boundedness of sublinear operators on block spaces built on Banach function spaces. These results are used to study the boundedness of the Marcinkiewicz integrals, singular integral operators and fractional integral operators with homogeneous kernels on block-type spaces. 相似文献
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Ferit G"{U}RB"{U}Z 《数学年刊B辑(英文版)》2020,41(1):77-98
Let L =-?+V(x) be a Schr?dinger operator, where ? is the Laplacian on ■~n,while nonnegative potential V(x) belonging to the reverse H?lder class. The aim of this paper is to give generalized weighted Morrey estimates for the boundedness of Marcinkiewicz integrals with rough kernel associated with Schr?dinger operator and their commutators.Moreover, the boundedness of the commutator operators formed by BMO functions and Marcinkiewicz integrals with rough kernel associated with Schr?dinger operators is discussed on the generalized weighted Morrey spaces. As its special cases, the corresponding results of Marcinkiewicz integrals with rough kernel associated with Schr?dinger operator and their commutators have been deduced, respectively. Also, Marcinkiewicz integral operators, rough Hardy-Littlewood(H-L for short) maximal operators, Bochner-Riesz means and parametric Marcinkiewicz integral operators which satisfy the conditions of our main results can be considered as some examples. 相似文献