简介:我们扩大由于Peng-Terng,Wei-Xu和Suh-Yang拧定理的分级的弯曲。让M一个n维的协议是在Sn+1的最小的hypersurface令人满意的Sf4吗?f32$\tfrac{1}{n}$\tfrac{1}{n}S3,在S是第二个基础的摆平的标准的地方,M形成,并且fk$\sum\limits_i{\lambda_i^k}$\sum\limits_i{\lambda_i^k}并且i(1in)是M的主要弯曲。我们证明那在那里存在仅仅取决于n的积极经常的(n)(n/2)以便如果nSn+(n),那么Sn,即,吗M是克利福德花托之一$S^k(\sqrt{\tfrac{k}{n}})\timesS^{n-k}(\sqrt{\tfrac{{n-k}}{n}})$S^k(\sqrt{\tfrac{吗k}{n}})\timesS^{n-k}(\sqrt{\tfrac{{n-k}}{n}})为1kn?1。而且,如果S是一个常数,我们证明那,那么在那里存在积极经常的(n)(n?$\tfrac{2}{3}$\tfrac{2}{3}仅仅取决于n以便如果nS
简介:Theunitcircleproblemistheproblemoffindingthenumberofeigenvaluesofanon-Hermitianmatrixinsideandoutsidetheunitcircle.Toreducethecostofcomputingeigenvaluesfortheproblem,adirectmethod,whichisanalogoustothatgivenin[5],isproposedinthispaper.
简介:InthispaperthelimitingdistributionoftheleastsquareestimatefortheautoregressivecoefficientofanearlyunitrootmodelwithGARCHerrorsisderived.Sincethelimitingdistributiondependsontheunknownvarianceoftheerrors,anempiricallikelihoodratiostatisticisproposedfromwhichconfidenceintervalscanbeconstructedforthenearlyunitrootmodelwithoutknowingthevariance.Togainanintuitivesensefortheempiricallikelihoodratio,asmallsimulationfortheasymptoticdistributionisgiven.
简介:WefindalowerboundfortheessentialnormofthedifferenceoftwocompositionoperatorsactingonH2(BN)orAs2(BN)(s>1).Thisresultplaysanimportantroleinprovinganecessaryandsufficientconditionforthedifferenceoflinearfractionalcompositionoperatorstobecompact,whichanswersaquestionposedbyMacCluerandWeirin2005.更多还原
简介:ThepaperdefinesanextendedCesàrooperatorTgwithholomorphicsymbolgintheunitballBofCnasWhereg(z)=∑j=1∑nzjg/zjistheradialderivativeofg.Inthispaper,theauthorcharacterizesgforwhichTgisbounded(orcompact)ontheBlochspaceBandthelittleBlochspaceB0.
简介:ThisarticleprovestheexistenceofJuliadirectionsofvaluedistributionofholomorphicmappingffromtheunitdiskintothen-dimensionalcomplexprojectivespacePn(C)undertheassumptionlimsupr→1-T(r,f)/log1/1-r=+∞forhypersurfacesingeneralposition.AheuristicprincipleconcerningtheexistenceofJuliadirectionsofholomorphicmappingsfromtheunitdiskintoPn(C)isgivenalso.
简介:Inthispaper,weexpresstheessentialnormsofcompositionoperatorsbetweenweightedBergmanspacesoftheunitdiscintermsofthegeneralizedNevanlinnacountingfunction.
简介:Inthisarticle,first,asufficientconditionforastarlikemappingoforderαf(x)definedontheunitballinacomplexBanachspaceisgiven.Second,thesharpestimateofthethirdhomogeneousexpansionforfisestablishedaswell,wheref(z)=(f1(z),f2(z),...,fn(z))’isastarlikemappingoforderαoranormalizedbiholomorphicstarlikemappingdefinedontheunitpolydiskinCn,andOurresultstatesthattheBieberbachconjectureinseveralcomplexvariables(thecaseofthethirdhomogeneousexpansionforstarlikemappingsoforderαandbiholomorphicstarlikemappings)ispartlyproved.