简介：TheauthorsmainlyconcernthesetUfofc∈Csuchthatthepowerdeformationzf(z)/zcisunivalentintheunitdisk|z|<1foragivenanalyticunivalentfunctionf(z)=z+a2z2+···intheunitdisk.ItisshownthatUfisacompact,polynomiallyconvexsubsetofthecomplexplaneCunlessfistheidentityfunction.Inparticular,theinteriorofUfissimplyconnected.Thisfactenablesustoapplyvariousversionsoftheλ-lemmafortheholomorphicfamilyzf(z)/zcofinjectionsparametrizedovertheinteriorofUf.ThenecessaryorsufficientconditionsforUftocontain0or1asaninteriorpointarealsogiven.

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简介：InthispaperweestablishsharpH¨olderestimatesofharmonicfunctionsonaclassofconnectedpostcriticallyfinite(p.c.f.)self-similarsets,andshowthatfunctionsinthedomainofLaplacianenjoythesameproperty.Somewell-knownexamples,suchastheSierpinskigasket,theunitinterval,thelevel3Sierpinskigasket,thehexagasket,the3-dimensionalSierpinskigasket,andtheVicseksetarealsoconsidered.

简介：本文讨论，f(f^（k）)^n的值分布的定量估计并改进了C.K.Tsc与C.C.Yang的一个结果。

简介：TheauthorconsiderstheFeigenbaum'sfunctionalequationf^P(λx)=λf(x)foreachp≥2.TheexistenceofevenunimodalC^1solutionstothisequationisdiscussedandafeasiblemethodtoconstructsuchsolutionsisgiven.

简介：§1.IntroductionLetEbeanon-zerocomplexBanaohspace,&(JET)theBanaohalgebraofalltheoperatorsfromEintoitself.Operatormeans'boundedlinearoperator'throughout.Anoperatorfunction/fromadomain(openset)Dinthecomplexplaneto@l(T￡}issaidtobeanalytic,ifforanyx^Eandq>￡E*(thedualspaceofE\9>(/(z)aOisanalyticintheclassical’senseinD([1],p.92).Wedenotebyja/B(D)thesetofalltheanalyticoperatorfunctionsfromDinto

简介：ＢＭＯ空间中ｆ与ｆ_Ｎ的范数比较刘为铨（安徽芜湖师专）设ｆ（ｘ）为定义于Ｒ上的局部可积函数，Ｑ为Ｒ中的任一立方体。｜Ｑ｜为Ｑ的Ｌｅｂｅｓｅｕｅ测度，ｆ（Ｘ）在Ｑ上的平均值记作若ｆ（Ｘ）满足条件则称人工）为有界平均振动函数，一切有界平均振动函数所构成的?..

简介：本文指出西安交通大学高等数学教研室所编《高等数学》一书中关于拐点的一个习题的错误之处,并对该习题条件的增设作了讨论。

简介：知识要点］曲线与方程的概念．能利用给定条件选择适当坐标系求出曲线的方程，能通过曲线的方程来研究曲线的性质．对于一些常见曲线的方程应能根据其方程画出该方程所表示的曲线．理解充要条件的意义及在数学变形过程中的等价性问题．圆锥曲线的定义、它们的标准方程及有...

简介：得到如下结果：设f(z)为非常数亚纯函数，f与f^(k)以1为CM公共值，如果N^-(r，f)+N^-(r，1/f^(k))＜λT(r，f)，k=1，0＜λ＜1/6;或3N^-(r，f)+N^-(r，1/f^k)＜λT(r，f)，k≥2，0＜λ＜1/3;或N^-(r，1/f)+3N^-(r，1/f^(k))＜λT(r，f)，k≥3，0＜λ＜1/6，则f^(k)-1/(f-1)≡C，其中C为某一非零常数。

简介：提出了点集Bézier曲线的概念，给出了点集Bézier曲线的性质及细分算法．按照点集算术的定义，当点集是长方形闭域或圆盘时，点集Bézier曲线就是区间Bézier曲线或圆盘Bézier曲线，因此，点集Bézier曲线是对区间Bézier曲线和圆盘Bézier曲线的推广．

简介：ThispapercharacterizestheirrationalrotaionC^*-algebraassociatedwiththeToeplitxC^*-algebraovertheZ-shapeddomaininC^2inthesenseofthemaximalradicalseries,whichisanisomorphisminvariant.

简介：LetGbeagraphwithvertexsetV(G)andedgesetE(G)andletgandfbetwointeger-valuedfunctionsdefinedonV(G)suchthat2k-1≤g(x)≤f(x)forallx∈V(G).LetHbeasubgraphofGwithmkedges.Inthispaperitisprovedthatevery(mg+m-1,mf-m+1)-graphGhas(g,f)-factorizationsrandomlyκ-orthogonaltoHandshownthattheresultisbestpossible.

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简介：LetB(E,F)bethesetofallboundedlinearoperatorsfromaBanachspaceEintoanotherBanachspaceF,B+(E,F)thesetofalldoublesplittingoperatorsinB(E,F)andGI(A)thesetofgeneralizedinversesofA2B+(E,F).InthispaperweintroduceanunboundeddomainW(A,A^+)inB(E,F)forA2B+(E,F)andA^+2GI(A),andprovideanecessaryandsufficientconditionforT2W(A,A^+).Thenseveralconditionsequivalenttothefollowingpropertyareproved:B=A^+(IF+(T??A)A^+)??1isthegeneralizedinverseofTwithR(B)=R(A^+)andN(B)=N(A^+),forT2W(A,A^+),whereIFistheidentityonF.Alsoweobtainthesmooth(C￥)diffeomorphismMA(A^+,T)fromW(A,A^+)ontoitselfwiththefixedpointA.LetS=fT2W(A,A^+):R(T)\N(A^+)=f0gg,M(X)=fT2B(E,F):TN(X)R(X)gforX2B(E,F)g,andF=fM(X):8X2B(E,F)g.UsingthediffeomorphismMA(A^+,T)weprovethefollowingtheorem:SisasmoothsubmanifoldinB(E,F)andtangenttoM(X)atanyX2S.ThetheoremexpandsthesmoothintegrabilityofFatAfromalocalneighborhooldatAtotheglobalunboundeddomainW(A,A^+).Itseemstobeusefulfordevelopingglobalanalysisandgeomatricalmethodindifferentialequations.

简介：AsubgroupHofagroupGiscalledF-z-supplementedinGifthereexistsasubgroupKofG,suchthatG=HKandH∩K≤Z∞F(G),whereZ∞F(G)istheF-hypercenterofG.WeobtainsomeresultsabouttheF-z-supplementedsubgroupsandusethemtodeterminethestructureofsomegroups.

简介：Analgorithmofcontinuousstage-spaceMCMCmethodforsolvingalgebraequationf(x)=0isgiven.Itisavailableforthecasethatthesignoff(x)changesfrequentlyorthederivativef'(x)doesnotexistintheneighborhoodoftheroot,whiletheNewtonmethodishardtowork.Letnbethenumberofrandomvariablescreatedbycomputerinouralgorithm.Thenafterrn=O(n)transactionsfromtheinitialvalueXo,X^*canbegotsuchthat[f(x^*)|＜e-^cm|f(xo)|bychoosingsuitablepositiveconstantc.Anillustrationisalsogivenwiththediscussionofconvergencebyadjustingtheparametersinthealgorithm.

简介：定义了向量筐函数的C-Stieltjes近似可表示算子，并研究了它的性质。另外，我们定义了向量值函数的近似C-Stieltjes积分，并证明了它的收敛定理。

简介：针对广义offset在实际中的广泛应用,给出一种曲线、曲面的广义offset的定义,并讨论它们的性质.

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