简介：LetB(H)bethealgebraofalltheboundedlinearoperatorsonaHilbertspaceH.ForA,PandQinB(H),ifthereexistsanoperatorX∈B(H)suchthatAPXQA=A,XQAPX=X,(QAPX)*=QAPXand(XQAP)*=XQAP,thenXissaidtobetheΓ-inverseofAassociatedwithPandQ,anddenotedbyAP,Q+.Inthisnote,wepresentsomenecessaryandsu?cientconditionsforwhichA+P,Qexists,andgiveanexplicitrepresentationofAP,Q+(ifAP,Q+exists).

简介：Wecharacterizepolynomialgrowthofcosinefunctionsintermsoftheresolventofitsgeneratorandgiveanecessaryandsufficientconditionforacosinefunctionwithaninfinitesimalgeneratorwhichispolynomiallybounded.

简介：Letp(z)=akzkbesuchthat|p(eip)|≤1forRand|p(1)|=a[0,1].AninequalityofDewanandCavilforthesum|av|+|au|,0≤u

简介：Kytmanov和Myslivets给了单个积分的特殊Cauchy主要价值在上与光滑的边界围住严格地假的凸的领域。借助于这Cauchy不可分的主要价值，相应单个积分和一个作文公式被获得。这个作文公式与平常的处于良好的竟技状态相当不同。作为一个应用程序，相应单个不可分的方程和单个不可分的方程的系统也被讨论。

简介：Vibrationofacircularmembraneincontactwithafluidhasextensiveapplicationsinindustry.Thenaturalvibrationfrequenciesfortheasymmetricfreevibrationofacircularmembraneincontactwithaboundedincompressiblefluidarederivedinthispaper.Consideringsmalloscillationsinducedbythemembranevibrationinanincompressibleandinviscidfluid,thevelocitypotentialfunctionisusedtodescribethefluidfield.Twoapproachesareusedtoderivethefreevibrationfrequenciesofthesystem,whichincludeavariationalformulationandanapproximatesolutionemployingtheRayleighquotientmethod.Agoodcorrelationisfoundbetweenfreevibrationfrequenciesevaluatedbythesemethods.Finally,theeffectsofthefluiddepth,themassdensity,andtheradialtensiononthefreevibrationfrequenciesofthecoupledsystemareinvestigated.

简介：Thescalingandsimilarityofwallboundedturbulentflowwerestudied.Thepropertiesofsuchflowsandtherelationshipbetweenapowerlawandalogarithmictypeofvelocitydistributionwereinvestigated.Basedonthephysicalmechanisminvolved,ourresultsshowthatthepowerlawandthelogarithmicdistributionareonlydifferentformswiththesamehypothesisandholdonlyintheouterflowzone.Thus,auniversalexplanationforvariousempiricalformulaeofvelocitydistributionwasobtained.Manning’sformulawasstudiedtoexplaintheoreticallytheexperientialresultthattheroughnesscoefficientisonlyacomprehensiveparameterofthewholesystemwithoutacorrespondingphysicalfactor.Thephysicalmechanismofthevelocitydistributionofparalleltowallboundedflowwasexplored,theresultsshowthattheparametersintheformulaofvelocitydistributionareindicesofthesystemrespondingtoflowingenvironmentalfactorstorepresentgeneralcaseofboundaryroughnessandtheflowingstate,correspondingphysicalmechanismisvortexmotion.

简介：Theboundedparameterestimationproblemanditssolutionleadtomoiemeaningfulresults.Itssuperiorperformanceisduetothefactthatthenewmethodguaranteesthattheeffectoftheuncertaintieswillneverbeunnecessarilyoverestimated.Wethenconsiderhowtoupdateanddowndatetheboundedparameterestimationproblem.WhenupdatinganddowndatingofSVDareusedtothenewproblem,specialtechnologiesaretakentoavoidformingUandVexplicitly,thenincreasethealgorithmperformance.BecauseofthelinkbetweentheboundedparameterestimationandTikhonovregularizationprocedure,wepointoutthatouralgorithmscanalsobeusedtomodifyregularizationproblem.

简介：TheestimationsoftheboundsoftheBlochconstantoflocallybiholomorphicmappingsonirreducibleboundedsymmetricdomainsaregiven.Whenthedomainisaunitcircle,theestimationofthelowerboundsisjustthefamousone-halfestimation.

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简介：对每真实值的凸的功能在一个集合上上面围住的保证连续，集合应该怎么“厚”吗？为在Banach空间E的对称的集合A，这篇论文的答案是：如果并且仅当下列二个条件成立，在A上上面围住的每真实值的凸的功能在E上是连续的：我)跨度A有有限co-dimentions和ii)coA有非空的相对内部。这篇论文也证明子集A在E被包含令人满意如果，在A上上面围住的每真实值的凸的功能在E上是连续的(并且仅当)每真实值线性功能在A上上面跳了在E上是连续的，它也等价于那在A上围住的每真实值的凸的功能在E上是连续的。

简介：ThispaperpresentsanewfamilyofsolutionstothesingularlyperturbedAllen-Cahnequationα~2Δu+u(1-u~2)=0inasmoothboundeddomainΩR~3,withNeumannboundaryconditionandα>0asmallparameter.Thesesolutionshavethepropertythatasα→0,theirlevelsetscollapseontoaboundedportionofacompleteembeddedminimalsurfacewithfinitetotalcurvatureintersecting?Ωorthogonallyandthatisnon-degeneraterespectto?Ω.Theauthorsprovideexplicitexamplesofsurfacestowhichtheresultapplies.

简介：Inthispaper,thenotionoftheboundedcompactapproximationproperty(BCAP)ofapair[Banachspaceanditssubspace]isusedtoprovethatifXisaclosedsubspaceofL∞withtheBCAP,thenL∞/XhastheBCAP.WealsoshowthatX*hastheλ-BCAPwithconjugateoperatorsifandonlyifthepair(X,Y)hastheλ-BCAPforeachfinitecodimensionalsubspaceY∈X.LetMbeaclosedsubspaceofXsuchthatM⊥iscomplementedinX*.IfXhasthe(bounded)approximationpropertyoforderp,thenMhasthe(bounded)approximationpropertyoforderp.

简介：一个概括控制器基于不可思议地使不安的系统的稳定性理论被建议，到在机器人轨道追踪处理围住的致动器输入的问题控制。有错误获得矩阵的浸透功能在转矩控制法律被使用，它在任何给定的有限范围保证转矩输入的上面的界限。通过适当地设置错误获得矩阵的条目，追踪的性能能被改进。而且，一个假信号从一个线性过滤器被产生代替实际速度错误，为速度大小消除需要。最后，验证概括控制器的有效性，有error-gain-contained弧正切功能的一个新浸透的控制器被设计。建议控制器能严格地保证转矩的界限得到的比较实验表演与非零处于状况输入起始的追踪错误，并且比另外的控制器给更好的追踪结果。

简介：LetDbeaboundedC3-domaininRdand(aij)beaboundedsymmetricmatrixdefinedonD.Considerthesymmetricform（u,v）=1/2∫Daij（x）（u（x））/（xi）（v（x））/（xj）dx,u,v∈H1（D）.UndersomeassumptionsitisshownthatthediffusionprocessassociatedwiththeregularDirichletspace(,（H1（D））onL2（D）canbecharacterizedasauniquesolutionofacertainstochasticdifferentialequation.

简介：InthisarticlewestudyholomorphicisometriesofthePoincar'ediskintoboundedsymmetricdomains.EarlierwesolvedtheproblemofanalyticcontinuationofgermsofholomorphicmapsbetweenboundeddomainswhichareisometriesuptonormalizingconstantswithrespecttotheBergmanmetric,showinginparticularthatthegraphV0ofanygermofholomorphicisometryofthePoincar'ediskΔintoanirreducibleboundedsymmetricdomainΩ€CNinitsHarish-Chandrarealizationmustextendtoanaffine-algebraicsubvarietyVC×CN=CN+1,andthattheirreduciblecomponentofV∩(Δ×Ω)containingV0isthegraphofaproperholomorphicisometricembeddingF:Δ→Ω.Inthisarticlewestudyholomorphicisometricembeddingswhichareasymptoticallygeodesicatageneralboundarypointb∈Δ.Startingwiththestructuralequationforholomor-phicisometriesarisingfromtheGaussequation,weobtainbycovariantdifferentiationanidentityrelatingcertainholomorphicbisectionalcurvaturestotheboundarybehaviorofthesecondfundamentalformσoftheholomorphicisometricembedding.Usingthenonpositivityofholomorphicbisectionalcurvaturesonaboundedsymmetricdomain,weprovethatσmustvanishatageneralboundarypointeithertotheorder1ortotheorder21,calledaholomorphicisometryofthefirstresp.secondkind.Wedealwithspecialcasesofnon-standardholomorphicisometricembeddingsofsuchmaps,showingthattheymustbeasymptoticallytotallygeodesicatageneralboundarypointandinfactofthefirstkindwheneverthetargetdomainisaCartesianproductofcomplexunitballs.WealsostudytheboundarybehaviorofanexampleofholomorphicisometricembeddingfromthePoincar'ediskintoaSiegelupperhalf-planebyanexplicitdeterminationoftheboundarybehaviorofholomorphicsectionalcurvaturesinthedirectionstangenttotheembeddedPoincar'edisk,showingthatthemapisindeedasymptoticallytotallygeodesicatageneralboundarypointandofthefirstkind.Fo

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简介：为>1，让d在bidisk和一项复杂措施上表示加权的Lebesgue措施令人满意一些Carleson类型条件。在这份报纸，我们为Toeplitz操作员$T_显示出一个足够、必要的条件{\bar\mu}在加权的Bergman空间L上要跳或压缩的^\alpha$一1(d)。

简介：TheauthorscharacterizetheorderboundednessofweightedcompositionoperatorsactingbetweenDirichlettypespaces.

简介：RecentlyGuointroducedintegratedMeyer-KonigandZelleroperatorsandstudiedtherateofconvergenceforfunctionofboundedvariation.Inthisnotewegiveasharpestimatefortheseoperators.

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