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| 1 | Multilinear Hausdorff Operators and Their Best Constants显示文摘In this paper, we study two different extensions of the Hausdorff operator to the multilinear case. Boundedness on Lebesgue spaces and Herz spaces is obtained. The bound on the Lebesgue space is optimal. Our results are substantial extensions of some known results on Multilinear high dimensional Hardy operator. | Jie Cheng CHEN Da Shan FAN Chun Jie ZHANG | 2012 | Acta Mathematica Sinica,English Series2012，28，8： | 12 |
| 2 | Boundedness of an Oscillating Multiplier on Triebel-Lizorkin Spaces显示文摘在这份报纸,我们为一更多样地震荡学习 Triebel-Lizorkin 空间估计 m 惟,伪,尾。这个操作符被 Wainger 并且由 Fefferman 啤酒杯杯开始在 Lebesgue 空格学习。我们在 Triebel-Lizorkin 空间获得固定结果吗?p 伪, q (?n ) 为不同 p, q。更多样地震荡的关键词 - Triebel-Lizorkin 空格 - 原子分解先生(2000 ) 题目分类 42B25 - 42B15 - 42B99 由中国的国家自然科学基础支持了(资助 Nos. 10931001 并且 10871173 ) | Wei CAO Jie Cheng CHEN Da Shan FAN | 2010 | Acta Mathematica Sinica,English Series2010，26，11： | 4 |
| 3 | Multilinear Fractional Hausdorff Operators显示文摘In this paper,by introducing the space with weak mixed norms,weak type estimates of two kinds of multilinear fractional Hausdorff operators RΦ,β and SΦ,β on Lebesgue spaces are shown.By virtue of Marcinkiewicz interpolation,strong type estimates of these two operators on Lebesgue spaces are also obtained.Our methods shed some new light on dealing with the case of non-radial function Φ. | Da Shan FAN Fa You ZHAO | 2014 | Acta Mathematica Sinica,English Series2014，30，8： | 3 |
| 4 | L^p Bounds for Singular Integrals with Rough Kernels on Product Domains显示文摘This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface.Some rather weaker size conditions,which imply the Lp-boundedness of such operators for certain fixed p(1 < p < ∞),are given. | Li MA Da Shan FAN Huo Xiong WU | 2012 | Acta Mathematica Sinica,English Series2012，28，1： | 1 |
| 5 | Approximation of the Fractional Schrodinger Propagator on Compact Manifolds显示文摘Let L be a second order positive,elliptic differential operator that is self-adjoint with respect to some C^(∞)density dx on a compact connected manifold M.We proved that if 0<α<1,α/20. | Jie Cheng CHEN Da Shan FAN Fa You ZHAO | 2021 | Acta Mathematica Sinica,English Series2021，37，10： | 0 |
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