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简介：如果你是一个害羞的人，一定会觉得让自己自信起来是非常困难的。与新认识的人打交道会觉得无所适从；走路的时候甚至不知道该把手放在哪里好；面对一大屋子的人发言的时候嗓子会不听话；经常把事情搞砸了，得罪了颇有“权势”的人物。与其唯唯诺诺。不如拿出自信，坦然面对这一切——

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：Inthispaper,weprovethatthemaximaloperatorsatisfiesishomogeneousofdegree0,hasvanishingmomentuptoorderMandsatisfiesLq-Diniconditionforsome

简介：在这份报纸，我们系统地学习波浪的一个班。我们然后de罚款哈迪类型空格由为波浪的这个类结合系统，并且学习他们的性质。特别地，我们证明他们为波浪方程扩大Lp估计的一些班。

简介：在这份报纸，作者计算同类的Grushin泛音函数的空格的尺寸，并且给他们的一个直角的基础。而且，作者描述这些同质的Grushin泛音基础的节的曲线。作为直角的基础的一个应用程序，作者为Grushin操作符证明一条Liouville类型定理，那是Grushin泛音函数如果如此的一个函数的频率等于某常数，是同类的多项式。

简介：LetPnbetheclassofpolynomialsofdegreeatmostnRatherandShah[15]provedthatifP∈PnandP(z)≠0in|z|<1,thenforeveryR>0and0≤q<∞,|B[P(Rz)]|q≤|RnB[zn]+λ0|q|1+zn|q|P(z)|q,whereBisaBn-operator.Inthispaper,weprovesomegeneralizationofthisresultwhichinparticularyieldssomeknownpolynomialinequalitiesasspecialWealsoconsideranoperatorDαwhichmapsapolynomialP(z)intoDαP(z):=nP(z)+(α-z)P′(z)andobtainextensionsandgeneralizationsofanumberofwell-knownLqinequalities

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

简介：Letp(z)beapolynomialofdegreeatmostn.Inthispaperweobtainsomenewresultsaboutthedependenceofp(Rz)-βp(rz)+α(R+1/r+1)n-|β|p(rz)sonp(z)sforeveryα,β∈Cwith|α|≤1,|β|≤1,R>r1,ands>0.Ourresultsnotonlygeneralizesomewellknowninequalities,butalsoarevarietyofinterestingresultsdeducedfromthembyafairlyuniformprocedure.

简介：ＭＥＡＮＶＡＬＵＥＯＦＡＮＡＬＹＴＩＣＯＰＥＲＡＴＯＲＦＵＮＣＴＩＯＮＳＹｕＸｉａｏｐｅｉ（喻小培）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＣｅｎｔｒａｌＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｗｕｈａｎ４３００７０，Ｃｈｉｎａ）ＪｉａｎＭｉｎｇ（蹇明）（Ｄ...

简介：Inthispaper,thepropertiesB^np,q,andB^n1,qareintroduced.Alotofresultsonthereflexivityofoperatoroperatorsubspaceswhichgeneralizetheresultsin[1]areobtained.

简介：§1.IntroductionAssociatedwiththeeigenvalueproblem

简介：Anexplicitlysolvablemodelfortunnellingofrelativisticspinlessparticlesthroughasphereissuggested.ThemodeloperatorisconstructedbyanoperatorextensionstheorymethodfromtheorthogonalsumoftheDiracoperatorsonasemiaxisandonthesphere.Thetransmissioncoefficientisobtained.Thedependenceofthetransmissioncoefficientontheparticleenergyhasaresonantcharacter.OneobservespairsoftheBreit–WignerandtheFanoresonances.Itcorrelateswiththecorrespondingresultsforanon-relativisticparticle.

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简介：为多线性的单个不可分的操作员的空间L~∞(R~n)上的行为由T_Af(x)=∫_(R~n)(Ω(x-y)定义)/(|x-y|~(n+1))((x)-(y)-▽A(y)(x-y))f(y)在Ω度零是同类的的地方，dyis考虑了，联合起来的范围上的integrable并且有顺序一的消失的时刻，A有在BMO(R~n)的顺序一的衍生物。如果Ωsatisfies一些最小尺寸状况和L~1-Dini打整齐状况，它被证明那，那么为f∈L~∞(R~n)，T_Af到处几乎是也无限的或有限几乎到处，并且在后者盒子中，T_af∈BMO(R~n)。

简介：Theoperatortheoryonindefiniteinnerproductspacesisusedtodiscussthehalfrangeproblemoflineartransportequationwithindefinitecollisionoperator.Acounterexampleto[1]isgivenandarelationbetweenmeasuresofnonuniquenessandnoncompletenessisestablished.

简介：YagerpresentedtheOrderedWeightedAveraging(OWA)operatortoprovideamethodforaggregatinginformationofdecision-making.YagerandFilevfurtherpresentedtheInducedOrderedWeightedAveraging(IOWA)operator.Inthispaper,weproposeaGeneralizedInducedOrderedWeightedGeometric(GIOWG)operatorandestablishasimpleobjective-programmingmodeltolearntheassociatedweightingvectorfromobservationaldata.EachobjectprocessedbytheGIOWGoperatorconsistsofthreecomponents,wherethefirstcomponentrepresentstheimportancedegreeorcharacterofthesecondcomponent,andthesecondcomponentisusedtoinduceanordering,throughthefirstcomponent,overthethirdcomponentswhicharethenaggregated.Thedesirableproperties,suchascommutativity,idempotencyandmonotonicity,etc.,associatedwlththeGIOWGoperatorarestudiedindetail,andsomenumericalexamplesaregiventoshowthepracticalityandeffectivenessofthedevelopedoperator.

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简介：NecessaryandsufficientconditionsareestablishedforacompositionoperatorCf=fotobeboundedorcompactontheBers-typespaceHaandthelittleBers-typespaceHaTheboundednessandcompactnessofthecompositionoperatorConA()arecharacterized,whichgeneralizethecaseofConHa.

简介：Weintroducemultilevelaugmentationmethodsforsolvingoperatorequationsbasedondirectsumdecompositionsoftherangespaceoftheoperatorandthesolutionspaceoftheoperatorequationandamatrixsplittingscheme.Weestablishageneralsettingfortheanalysisofthesemethods,showingthatthemethodsyieldapproximatesolutionsofthesameconvergenceorderasthebestapproximationfromthesubspace.Theseaugmentationmethodsallowustodevelopfast,accurateandstablenonconventionalnumericalalgorithmsforsolvingoperatorequations.Inparticular,forsecondkindequations,specialsplittingtechniquesareproposedtodevelopsuchalgorithms.Thesealgorithmsarethenappliedtosolvethelinearsystemsresultingfrommatrixcompressionschemesusingwavelet-likefunctionsforsolvingFredholmintegralequationsofthesecondkind.Forthisspecialcase,acompleteanalysisforcomputationalcomplexityandconvergenceorderispresented.Numericalexamplesareincludedtodemonstratetheefficiencyandaccuracyofthemethods.IntheseexamplesweusetheproposedaugmentationmethodtosolvelargescalelinearsystemsresultingfromtherecentlydevelopedwaveletGalerkinmethodsandfastcollocationmethodsappliedtointegralequationsofthesecondkind.Ournumericalresultsconfirmthatthisaugmentationmethodisparticularlyefficientforsolvinglargescalelinearsystemsinducedfromwaveletcompressionschemes.