简介：单个不可分的操作员

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简介：Inthispaper,weconsidertheapproximationproblemofstochasticintegralwithrespecttotwo-parameterWienerprocess.Wefirstintroduceakindofsymmetricintegralandproveitobeysthechainrule.Thenweapplyanintegralformulaofboundedvariationfunctionswithtwovariablestoshowtheapproximationtheoremofstochasticintegralintheplane.Inparticular,weprovethatthesymmetricstochasticintegralisstablewhenthelimitistakeninthesenseofL~2convergence.

简介：TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.

简介：Inthispaper,westudytheLpboundednessforthesingularintegraloperatorsofR.Fef-fermanwhenthekernelsatisfiescertainsizecondition.Wealsoconsiderthecorrespondingmaximalsingularintegraloperators.

简介：Thisisashortsurveyonosicllatoryintegraloperators.Wesummarizethemaindevelopmentandman-agingtechniquesofthefield,andgivesomeopenproblemsandmainreferencesintheend.

简介：Inthispaper,weprovethatthemaximaloperatorsatisfiesishomogeneousofdegree0,hasvanishingmomentuptoorderMandsatisfiesLq-Diniconditionforsome

简介：Inthispaper,therelationshipbetweenRiemann-Liouvillefractionalintegralandthebox-countingdimensionofgraphsoffractalfunctionsisdiscussed.

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简介：ForasimpleundirectedgraphG,denotebyA(G)the(0,1)-adjacencymatrixofG.LetthematrixS(G)=J-I-2A(G)beitsSeidelmatrix,andletSG(λ)=det(λI-S(G))beitsSeidelcharacteristicpolynomial,whereIisanidentitymatrixandJisasquarematrixallofwhoseentriesareequalto1.IfalleigenvaluesofSG(λ)areintegral,thenthegraphGiscalledS-integral.Inthispaper,ourmaingoalistoinvestigatetheeigenvaluesofSG(λ)forthecompletemultipartitegraphsG=Kn1,n2,...,nt.AnecessaryandsufficientconditionforthecompletetripartitegraphsKm,n,tandthecompletemultipartitegraphsKm,...,ms,n,...,nttobeS-integralisgiven,respectively.

简介：Inthispaper,weintroducenewsufficientconditionsforcertainintegraloperatorstobestarlikeandp-valentlystarlikeintheopenunitdisk.

简介：TheboundednessandthenormofaclassofintegraloperatorsTa,b,conLλPspacesarestudiedinthispaper.TheauthornotonlygivesthesufficientandnecessaryconditionfortheboundednessofTa,b,conLλP,butalsoobtainsitsaccuratenormonLλpforsomerangeundertheconditionofc=n+a+b.

简介：在现在的纸，作者介绍让步的新不可分的变换很多潜在地有用(知道或新)不可分的transfoms作为它的特殊情况。关于这新不可分的变换的许多基本结果，在这份报纸被建立，包括(例如)存在定理，Parseval类型关系和倒置公式。在有H功能和H变换的新不可分的变换之间的关系借助于一些不可分的身份被描绘。介绍变换也被用来发现答案到某个微分方程。一些解说性的例子也被给。

简介：在这篇论文，我们为多项式建立L~q不平等，它特别地产出一些Zygmund类型不平等的有趣的归纳。

简介：Lp(Rn)boundednessisconsideredforthemultilinearsingularintegraloperatordefinedbyTAf(x)=∫RnΩ(x-y)/|x-y|n+1(A(x)-A(y)-(△)A(y)(x-y))f(y)dy,whereΩishomogeneousofdegreezero,integrableontheunitsphereandhasvanishingmomentoforderone.AhasderivativesoforderoneinBMO(Rn).WegiveasmoothnessconditionwhichisfairlyweakerthanthatΩ∈Lipα(Sn-1)(0＜α≤1)andimpliestheLp(Rn)(1＜p＜oo)boundednessfortheoperatorTA.Someendpointestimatesarealsoestablished.

简介：Wegiveanecessaryandsufficientconditionforanabstractintegration(Definition1)tobethegeneralDenjoyintegral(D-integral).Thisisarevisedversionoftheauthor'spaper[2].

简介：Letμbeameasureontheupperhalf-spaceR+n+1,andvaweightonRn,wegiveacharacterizationforthepair(v,μ)suchthat||μ(fv)||L(μ)≤c||f||L(μ)whereisanN-functionsatisfyingΔ2conditionanduf(x,t)isthemaximalfunctiononR+n+1,whichwasintroducedbyRuiz,F.andTorrea,J.

简介：TheauthorusesanalyticmethodstostudythedistributionofintegralidealsandHeckeGrssencharactersinalgebraicnumberfields.Nowak’sresultsonthedistributionofintegralideals,andChandrasekharanandGood’sresultsonthedistributionofHeckeGrssencharactersareimproved.

简介：我们为积极的任何一个或Urysohn不可分的方程的非零答案的存在建立新标准。我们也为Urysohn不可分的操作员与非零或积极特徵函数为至少一个积极特征值的存在讨论积极特征值和足够的条件的间隔的存在。在其它之中，我们为紧缩的地图基于固定的点索引理论采用技术，它为这类方程是新的。关键词Urysohn不可分的方程-积极答案-特征值先生(2000)题目分类45G10-47H10-47H30第一和第三个作者被MinisteriodeCienciayTecnolog铆a(西班牙)部分地支持了MTM2004鈥?06652鈥揅03鈥?3

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)。