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简介：<正>WeintroducecertainCalderón-Zygmund-typeoperatorsanddiscusstheirboundednessonspacessuchasweightedLebesguespaces,weightedweakLebesguespaces,weightedHardyspacesandweightedweakHardyspaces.Thesharpnessofsomeresultsisalsoinvestigated.

简介：Thestudyofoperatorssatisfyingσja(T)=σa(T)isofsignificantinterest.Doesσja(T)=σa(T)forn-perinormaloperatorT∈B(H)ffThisquestionwasraisedbyMecheriandBraha[Oper.Matrices6(2012),725–734].Inthenoteweconstructacounterexampletothisquestionandobtainthefollowingresult:ifTisan-perinormaloperatorinB(H),thenσja(T)\{0}=σa(T)\{0}.Wealsoconsidertensorproductofn-perinormaloperators.

简介：Letr,1p={f:fr-1isabs.cont.onI=[a,b],fisperiodiewithperiodH（=b-a）,f（x1）=0,‖f（r）‖p≤0},wherex1isanyfixedpointin[a,b].TheauthorfindstheKolmogorov,Gel’land,linear,andBerusteinn-widthsofr,1pinLp（I）fornodd,∞>p>1.Theoptimalsubspacesandoperatorsarealsofound.

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简介：ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.

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简介：Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

简介：ＳＯＭＥＩＮＴＥＧＲＡＬＩＮＥＱＵＡＬＩＴＩＥＳＩＮＮＩＮＤＥＰＥＮＤＥＮＴＶＡＲＩＡＢＬＥＳＹＡＮＧＥＮＨＡＯ（杨恩浩）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｔｃｓ，ＪｉｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｇｎａｎｇｚｈｏｕ５１Ｏ６３２，Ｃｈｉｎａ）Ａ...

简介：BymeansofthetheoryofharmonicmapsintotheunitarygroupU(N),theauthorsstudyharmonicmapsintothesymplecticgroupSp(N).Thesymplecticunitonandsymplecticex-tendedunitonareintroduced.ThemethodofthesymplecticBacklundtransformationandtheDarbouxtransformationisusedtoconstructnewsymplecticunitonsfromaknownone.

简介：Inthispaper,theauthorsstudysomepropertiesofLittlewood-Paleyg-functionsg_ψ(f),LusinareafunctionsS_(ψ,α)(f)andLittlewood-Paleyg_(ψ,λ)~*(f)functionsdefinedonH~n,whereα,λ>0andψ,faresuitablefunctions.TheyarethegeneralizationofthecorrespondingoperatorsonR~n.

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简介：数列{(1+1/n)~2}的极限是数学上最重要的极限之一,关于它的存在性的证明方法已有多种,参见文[1]、[2]、[3],本文提供这个极限存在性的两种证法,并且给出用常用对数的工具计算e的近似值及进行误差估计的初等方法。

简介：<正>以0,1为元素所构成的n阶方阵A=(aij)n×n,i,j=0,1,2,…n-1,其元素之间的加法与乘法运算按下列方式:则称A为布尔矩阵,文[1],[2]对这类矩阵的性质作了深入的研究和全面的介绍,文[4][5]给出了经典循环矩阵可约性和本原性的条件,本文给出了另一类循环布尔矩阵的可约性和本原性的充分必要条件。设g是一个非负整数,一个n阶g-循环矩阵A=(aij)n×n是一个这样的矩阵,除

简介：Abstract.Inthispaperweshallinvestigatetheboundofstaxlikvnessrfortheclass

简介：ItisprovedthatalinearlyrecursivesequenceofnindiceaoverfieldF(n≥1)isautorntaticallyaproductofnlioearlyrecurplvesequenceaof1-lndexoverFbythetheoryofHopfalgebras.Bytheway,thecorrespondencebetweenthesetoflinearlyrecursivesequenoesof1-indexandF[X]^0isgeneralisedtothecaseofn-index.

简介：让L~p(Ω，H~n)为海森堡显示地图的L~p空间组目标。在这篇论文，一些新性质为空间L~p被获得(Ω，H~n)。

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