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| 1 | L^p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels | Yong Ding Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China Dashan Fan Department of Mathematics, Anhui University and University of Wisconsin-Milwaukee. MW 53201 USA Yibiao Pan Department of Mathematics, University of Pittsburgh. Pittsburgh. Pennsylvania 15260. USA | 2000 | Acta Mathematica Sinica,English Series2000，16，4： | 88 |
| 2 | Hausdorff Operators on Function Spaces显示文摘The authors mainly study the Hausdorff operators on Euclidean space R^n. They establish boundedness of the Hausdorff operators in various function spaces, such as Lebesgue spaces, Hardy spaces, local Hardy spaces and Herz type spaces. The results reveal that the Hausdorff operators have better performance on the Herz type Hardy spaces H Kα,pq (R^n) than their performance on the Hardy spaces H^p(R^n) when 0 < p < 1. Also, the authors obtain some new results and reprove or generalize some known results for the high dimensional Hardy operator and adjoint Hardy operator. | Jiecheng CHEN Dashan FAN Jun LI | 2012 | Chinese Annals of Mathematics,Series B2012，33，4： | 23 |
| 3 | Leaching ion adsorption rare earth by aluminum sulfate for increasing efficiency and lowering the environmental impact显示文摘The leaching efficiency(LE) of ion adsorption rare earth(IARE) by the sulfate and chloride of ammonium,magnesium and aluminum were comparatively determined using column leaching method. It is found that at equal equivalent concentration of cation, the LE of IARE by aluminum sulfate is the highest, and the zeta potential of clay mineral particles in the tailing is near to zero, which means a lower risk of landslide and pollutant emission. Furthermore, the optimum concentration of aluminum sulfate is determined to be0.02 mol/L, which is much lower than that of ammonium sulfate and magnesium sulfate. To reduce the production cost and environmental impact, we proposed a multi-stage leaching process, which was firstly leaching with ammonium sulfate and then with aluminum sulfate, following by water washing and lime neutralizing. With the ratio of ammonium sulfate to aluminum sulfate varying from 1:0 to 0.5:0.5, the residual ammonium in tailing decreases from 11.2% to 0.6%, however, the LE of RE shows an optimum value at 0.8:0.2. By neutralizing the pH of tailing with lime water to over 6, the ion concentration in water rinsing solution can meet the requirement for water discharge. At the same time, the zeta potential of clay particles is found to be around-5 mV, means a relatively lower risk of landslide. These facts indicate that the LE of IARE can be increased and the danger caused by tailings landslides and pollutant emissions can be reduced by replacing ammonium sulfate with aluminum sulfate as leaching reagent. | Lifen Yang Cuicui Li Dashan Wang Fengyang Li Yanzhu Liu Xuezhen Zhou Mingbiao Liu Xiufeng Wang Yongxiu Li | 2019 | Journal of Rare Earths2019，37，4： | 19 |
| 4 | Super-resolution fluorescence-assisted diffraction computational tomography reveals the threedimensional landscape of the cellular organelle interactome显示文摘The emergence of super-resolution(SR)fluorescence microscopy has rejuvenated the search for new cellular substructures.However,SR fluorescence microscopy achieves high contrast at the expense of a holistic view of the interacting partners and surrounding environment.Thus,we developed SR fluorescence-assisted diffraction computational tomography(SR-FACT),which combines label-free three-dimensional optical diffraction tomography(ODT)with two-dimensional fluorescence Hessian structured illumination microscopy.The ODT module is capable of resolving the mitochondria,lipid droplets,the nuclear membrane,chromosomes,the tubular endoplasmic reticulum,and lysosomes.Using dual-mode correlated live-cell imaging for a prolonged period of time,we observed novel subcellular structures named dark-vacuole bodies,the majority of which originate from densely populated perinuclear regions,and intensively interact with organelles such as the mitochondria and the nuclear membrane before ultimately collapsing into the plasma membrane.This work demonstrates the unique capabilities of SR-FACT,which suggests its wide applicability in cell biology in general. | Dashan Dong Xiaoshuai Huang Liuju Li Heng Mao Yanquan Mo Guangyi Zhang Zhe Zhang Jiayu Shen Wei Liu Zeming Wu Guanghui Liu Yanmei Liu Hong Yang Qihuang Gong Kebin Shi Liangyi Chen | 2020 | Light(Science & Applications)2020，9，1： | 7 |
| 5 | Certain oscillatory integrals on unit square and their applications显示文摘Let Q2 = [0, 1]2 be the unit square in two dimension Euclidean space R2. We study the Lp boundedness properties of the oscillatory integral operators Tα,β defined on the set S(R3) of Schwartz test functions f by Tα,βf(x,y,z) = Q2 f(x - t,y - s,z - tksj)e-it-β1s-β2t-1-α1s-1-α2dtds, where β1 > α1 0, β2 > α2 0 and (k, j) ∈ R2. As applications, we obtain some Lp boundedness results of rough singular integral operators on the product spaces. | FAN DaShan WU HuoXiong | 2008 | Science China Mathematics2008，51，10： | 6 |
| 6 | Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces显示文摘In this paper, we study the boundedness of the Hausdorff operator H_? on the real line R. First, we start with an easy case by establishing the boundedness of the Hausdorff operator on the Lebesgue space L^p(R)and the Hardy space H^1(R). The key idea is to reformulate H_? as a Calder′on-Zygmund convolution operator,from which its boundedness is proved by verifying the Hrmander condition of the convolution kernel. Secondly,to prove the boundedness on the Hardy space H^p(R) with 0 < p < 1, we rewrite the Hausdorff operator as a singular integral operator with the non-convolution kernel. This novel reformulation, in combination with the Taibleson-Weiss molecular characterization of H^p(R) spaces, enables us to obtain the desired results. Those results significantly extend the known boundedness of the Hausdorff operator on H^1(R). | Jiecheng Chen Jiawei Dai Dashan Fan Xiangrong Zhu | 2018 | Science China Mathematics2018，61，9： | 5 |
| 7 | Robust and high-speed rotation control in optical tweezers by using polarization synthesis based on heterodyne interference显示文摘The rotation control of particles in optical tweezers is often subject to the spin or orbit angular momentum induced optical torque,which is susceptible to the mechanical and morphological properties of individual particle.Here we report on a robust and high-speed rotation control in optical tweezers by using a novel linear polarization synthesis based on optical heterodyne interference between two circularly polarized lights with opposite handedness.The synthesized linear polarization can be rotated in a hopping-free scheme at arbitrary speed determined electronically by the heterodyne frequency between two laser fields.The experimental demonstration of a trapped vaterite particle in water shows that the precisely controlled rotation frequency of 300 Hz can be achieved.The proposed method will find promising applications in optically driven micro-gears,fluidic pumps and rotational micro-rheology. | Wei Liu Dashan Dong Hong Yang Qihuang Gong Kebin Shi | 2020 | Opto-Electronic Advances2020，3，8： | 5 |
| 8 | Littlewood-Paley operators with variable kernels显示文摘In this paper we study a certain directional Hilbert transform and the boundedness on some mixed norm spaces. As one of applications, we prove the Lp-boundedness of the Littlewood-Paley operators with variable kernels. Our results are extensions of some known theorems. | CHEN Jiecheng, DING Yong & FAN Dashan Department of Mathematics, Zhejiang University (Xixi Campus), Hangzhou 310028, China School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee WI 53201, USA Department of Mathematics, Central China Normal University, Wuhan 430074, China | 2006 | Science China Mathematics2006，49，5： | 4 |
| 9 | Application of orthogonal experimental design and Tikhonov regularization method for the identification of parameters in the casting solidification process显示文摘The inverse heat conduction method is one of methods to identify the casting simu- lation parameters. A new inverse method was presented according to the Tikhonov regularization theory. One appropriate regularized functional was established, and the functional was solved by the sensitivity coeffcient and Newton-Raphson iteration method. Moreover, the orthogonal experimental design was used to estimate the ap- propriate initial value and variation domain of each variable to decrease the number of iteration and improve the identification accuracy and effciency. It illustrated a detailed case of AlSi7Mg sand mold casting and the temperature measurement ex- periment was done. The physical properties of sand mold and the interfacial heat transfer coeffcient were identified at the meantime. The results indicated that the new regularization method was effcient in overcoming the ill-posedness of the inverse heat conduction problem and improving the stability and accuracy of the solutions. | Dashan SUI Zhenshan CUI | 2009 | Acta Metallurgica Sinica(English Letters)2009，22，1： | 4 |
| 10 | Estimates for wave and Klein-Gordon equations on modulation spaces显示文摘We prove that the fundamental semi-group eit(m 2I+|Δ|)1/2(m = 0) of the Klein-Gordon equation is bounded on the modulation space M ps,q(Rn) for all 0 < p,q ∞ and s ∈ R.Similarly,we prove that the wave semi-group eit|Δ|1/2 is bounded on the Hardy type modulation spaces μsp,q(Rn) for all 0 < p,q ∞,and s ∈ R.All the bounds have an asymptotic factor tn|1/p 1/2| as t goes to the infinity.These results extend some known results for the case of p 1.Also,some applications for the Cauchy problems related to the semi-group eit(m2I+|Δ|)1/2 are obtained.Finally we discuss the optimum of the factor tn|1/p 1/2| and raise some unsolved problems. | CHEN JieCheng FAN DaShan | 2012 | Science China Mathematics2012，55，10： | 4 |
| 11 | Solving the missing cone problem by deep learning显示文摘In order to extract the quantitative three-dimensional(3-D)distribution of refractive index(RI)in live cells noninvasively,optical diffraction tomography(ODT)uses the non-ionizing light sources instead of x-rays to perform a computational holographic tomography. | Dashan Dong Kebin Shi | 2020 | Advanced Photonics2020，2，2： | 4 |
| 12 | Evaluating the fractionation of ion-adsorption rare earths for in-situ leaching and metallogenic mechanism显示文摘The fractionation of ion adsorption rare earths(IAREs) along the depth in a shaft of a deposit at Dajishan,Jiangxi, China was comparatively evaluated using the partition values(PVs) and relative fractionation values(RFVs) of the leached rare earths(REs). It is found that both PVs and RFVs can objectively reflect the migration and fractionation of REs, but RE content and abrasion pH could not. However, the RFVs can provide more information to quantitatively evaluating the migration and fractionation characteristics of REs along the selected direction and region than PVs could, which is of significance for designing the optimal procedures of in-situ leaching based on the determined flow direction of injecting solution. It is demonstrated that the migration of Ce, Pr, and Nd along the depth direction is inert, and that of REs post Sm and Y is active. Meanwhile, the migration of La shows region characteristics which is active in the upper and inert in lower region. More interesting, the dependence of RFVs on atomic number of REs displays a tetrad group variation trend. However, the fractionation of REs among clay minerals with different particle sizes is not evident, especially for the clay in the bottom region. These results indicate that the migration and fractionation of REs not only are dominated by the adsorption of their hydrated ions, but also rely on their hydrolysis tendency, which provide information for understanding the metallogenic mechanism of IAREs. | Qiuhua Xu Lifeng Yang Dashan Wang Xiao Hou Yuanyuan Sun Xuezhen Zhou Xinmu Zhou Yongxiu Li | 2018 | Journal of Rare Earths2018，36，12： | 4 |
| 13 | Sharpness of some properties of weighted modulation spaces显示文摘We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution inequalities and embedding on weighted modulation spaces. Especially, we establish the analogue of the sharp Sobolev embedding theorem on weighted modulation spaces. | GUO WeiChao FAN DaShan WU HuoXiong ZHAO GuoPing | 2016 | Science China Mathematics2016，59，1： | 3 |
| 14 | THE WEIGHTED HERZ-TYPE HARDY SPACES hK_q^(α,p)(ω_1,ω_2)显示文摘Let (.the Muckenhoupt class). In this paper, the author introduce the weighted Herz-type Hardy spaces (w2) and present their atomic decomposition. Using the atomic decomposition, the author find out their dual spaces, establish the boundedness on these spaces of the pseudo-differential operators of order zero and show that , the class of C(Rn)-functions with compactly support, is dense in and there is a subsequence, which converges in distrbutional sense to some distribution of , of any bounded sequence in In addition, the author also set up the boundedness of some non-linear quantities in compensated compactness. | Fan Dashan and Yang Dachun (University of WI~Milwaukee, U. S. A. and Beijing Normal University, China) | 1997 | Analysis in Theory and Applications1997，13，4： | 2 |
| 15 | From theory to practice: an overview of MIMO space - time coded wireless systems显示文摘 | David Gesbert Shaft M Dashan Shiu | 2003 | IEEE Journals on Selected Areas in Communications2003，21，3： | 1 |
| 16 | Portfolio selection with uncertain exit time:A robust CVaR approach显示文摘 | DASHAN HUANG SHU-SHANG ZHU FRANK J | 2008 | Journal of Economic Dynamics & Control2008，，32： | 1 |
| 17 | Technical innovations in ear reconstruction using askin expander with autogenoiks cartilage grafts显示文摘 | DASHAN Y HAIYUE J QINGHUA Y | 2008 | JPlast Reconstr Aesthet Surg2008，611，： | 1 |
| 18 | CAViaR-based forecast for oil price risk 显示文摘 | Fabozzi F J Fukushima Masao Huang Dashan | 2009 | Energy Economics2009，，31： | 1 |
| 19 | A Discrete Singular Integral Operator(In Memory of Professor Long Ruilin) | Fan Dashan (Department of Mathematical Sciences,University of Wisconsin-Milwaukee,Milwaukee,WI 53201,USA)(Email:fan@alpha1.csd.uwm.edu)Lu Shanzhen (Department of Mathematics,Beijing Normal University,Beijing 100875,China)(Email:lusz@sun.ihep.ac.cn)Pan Yibiao (Department of Mathematics and Statistics,University of Pittsburgh,Pittsburgh,PA 15260,USA)(Email:yibiao@tomato.math.pitt.edu) | 1998 | Acta Mathematica Sinica,English Series1998，14，2： | 1 |
| 20 | A note on a rough singular integral operator 显示文摘 | Guo Kanghui and Pan Yibiao | | preprint0，，： | 1 |
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