Boundedness for commutators of fractional Hardy operators on Herz spaces

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.     

d维分数布朗运动的相关结果研究

引入并研究了d维分数布朗运动(dfBM)的性质,给出了dfBM的d维标准布朗运动(dsBM)的表示,由此诱导出dfBM与dsBM之间一个有界微积分算子AH,最后讨论了dfBM的dsBM多角形逼近,并由测度论知识得到最佳逼近.     

分数阶控制系统微积分数值实现——分析与比较

介绍并对比了两种分数阶微积分的直接离散化数值实现方法：连分式展开（CFE）方法和递归Tustin方法。这两种方法都是采用直接离散方法得到近似模型，且都是得到具有最小相位的稳定系统。在频域里对这两种分数阶离散方法对比结果表明：CFE求解方法要优于递归Tustin方法。论文最后通过实例给出了仿真验证。     

Blurred Defocused Image Restoration Based on FRFT

A technique for restoring the blurred image resulted from defocusing of the lens is proposed in this paper, which is based on fractional Fourier transform （FRFT）.The FRFT, as a powerful tool for the analysis of time-varying signals, is closely connected with the optical imaging system. FRFT also can describe optical imaging process just like Fresnel diffractions, so a defocused imaging model based on FRFT is established to explain the blur phenomena of defocusing image. The defocused imaging model is greatly different from the traditional point spread function （PSF） model, and enables to uncover the blur nature of non-focus image. Then, an image restoration method using the novel model is proposed to handle the blurred defocused image. The method adopted a new iterative phase retrieval approach which can approximately estimate phase signals from intensity signals of a single defocused image by means of FRFT. Restoring image may acquire sharp image by implementing inverse FRFT on complex image signal made from the estimated phase signals and intensity signals. Experimental results demonstrate that the method is effective in restoring blurred defocused image.     

FINITE ELEMENT METHOD AND ANALYSIS FOR CHEMICAL-FLOODING SIMULATION

1.IntroductionThisarticlediscussestheenhanced0ilrecoverynumericalsimulationofthechemicalflood-ing(suchassurfactats,alcohol,polymers)c0mposed0f3-dimensional,multicomponent,muLtiphaseandincompressiblemixedfluids.Aftertheoilfieldiswaterfi0oded,thereisstillalargeamountofcrudeoilleftintheoildeposit.Thisamountofoil,boundedbycapillarypressure,cannotflow;or)asaresultofthedisadvantageousrateofflowbetweenthedisplacinganddisplacedphases,thevolumethattheinjectionfiowaffectsistoosmalltodrivethecrudeoil.By…     

Iron-catalyzed benzylation of 1,3-dicarbonyl compounds by simple toluene derivatives

An iron-catalyzed oxidative C-C bond formation by the reactions of simple toluene derivatives with 1,3-dicarbonyl compounds is developed.A benzylic radical addition to a benzoylmethanato iron species is proposed for the transformation.     

A fractionally integrated exponential model for UK unemployment

Fractionally integrated models with the disturbances following a Bloomfield ( 1973 ) exponential spectral model are proposed in this article for modelling UK unemployment. This gives us a better understanding of the low‐frequency dynamics affecting the series without relying on any particular ARMA specification for its short‐run components which, in general, require many more parameters to estimate. The results indicate that this exponential model, confounded with fractional integration, may be a feasible way of modelling unemployment. It also shows that its order of integration is much higher than one and thus leads to the conclusion that the standard practice of taking first differences may lead to erroneous results. Copyright © 2001 John Wiley & Sons, Ltd.     

Bernstein型多项式的高阶渐近表达

研究Bernstein型多项式的高阶渐近问题 ,得到一个新的高阶渐近等式     

OPTIMAL CONTROL OF A CLASS OF DISTRIBUTED PARAMETER DELAY SYSTEMS

1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...     

新取代苯并冠醚的合成

以聚磷酸为催化剂和反应溶剂，合成了卤代乙酰型取代苯并冠醚Ａ、Ｂ、Ｃ和乙酰型取代冠醚Ｄ，四种合成产物由ＩＲ，ＭＳ和元素分析鉴定了结构。