简介:ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.
简介:ThepaperisacontributiontotheproblemofapproximatingrandomsetwithvaluesinaseparableBanachspace.Thisclassofset-valuedfunctioniswidelyusedinmanyareas.Weinvestigatethepropertiesofp-boundedintegrablerandomset.Basedonthisweendowitwith△pmetricwhichcanbeviewedasaintegraltypehausdorffmetricandpresentsomeapproximationtheoremofaclassofconvolutionoperatorswithrespectto△pmetric.Moreoverwealsocanestablishanalogoustheoremforotherintegraltypeoperatorin△pspace.
简介:由在卡尔弗特和Gupta的非线性的accretivemappings的范围的和上使用不安理论,我们在答案u∈L~S的存在上学习抽象结果(包含p拉普拉斯算符操作员的非线性的边界价值问题的Ω),在此2≤s≤+∞,并且(2N)/(N+1)<p≤2为N(≥1)它表示R~N的尺寸。获得结果,一些新技术在这篇论文被使用。在这里的这篇论文和我们的方法讨论的方程是扩展和补充到L.魏和Z.的相应结果他。
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: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:§1.IntroductionAssociatedwiththeeigenvalueproblem
简介:Anexplicitlysolvablemodelfortunnellingofrelativisticspinlessparticlesthroughasphereissuggested.ThemodeloperatorisconstructedbyanoperatorextensionstheorymethodfromtheorthogonalsumoftheDiracoperatorsonasemiaxisandonthesphere.Thetransmissioncoefficientisobtained.Thedependenceofthetransmissioncoefficientontheparticleenergyhasaresonantcharacter.OneobservespairsoftheBreit–WignerandtheFanoresonances.Itcorrelateswiththecorrespondingresultsforanon-relativisticparticle.