简介：WeconsiderHardyspaceswithvariableexponentsdefinedbygrandmaximalfunctionontheHeisenberggroup.ThenweintroducesomeequivalentcharacterizationsofvariableHardyspaces.ByusingatomicdecompositionandmoleculardecompositionwegettheboundednessofsingularintegraloperatorsonvariableHardyspaces.WeinvestigatetheLittlewood-Paleycharacterizationbyvirtueoftheboundednessofsingularintegraloperators.

简介：Inthispaper,theauthorsintroducecertainHerztypeHardyspaceswithvariableexponentsandestablishthecharacterizationsofthesespacesintermsofatomicandmoleculardecompositions.Usingthesedecompositions,theauthorsobtaintheboundednessofsomesingularintegraloperatorsontheHerztypeHardyspaceswithvariableexponents.

简介：Inthispaper,weconsidertheboundarystabilizationofthewaveequationwithvariablecoefficientsbyRiemmanniangeometrymethodsubjecttoadifferentgeometricconditionwhichismotivatedbythegeometricmultiplieridentities.Several(multiplier)identities(inequalities)whichhavebeenbuiltforconstantwaveequationbyKormornikandZuazuaaregeneralizedtothevariablecoefficientcasebysomecomputationaltechniquesinRiemmanniangeometry,sothatthepreciseestimatesontheexponentialdecayratearederivedfromthoseinequalitities.Also,theexponentialdecayforthesolutionsofsemilinearwaveequationwithvariablecoefficientsisobtainedundernaturalgrowthandsignassumptionsonthenonlinearity.Ourmethodisrathergeneralandcanbeadaptedtootherevolutionsystemswithvariablecoefficients(e.g.elasticityplates)aswell.

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简介：作者与可变的核$\frac为二种Carleson类型最大的操作员认为Lp是固定{{\Omega\left({x，y'}\right)}}{{\left|y\right|^n}}$(x，y)L(n)?L

简介：<正>SpecialgeneratorsoftheunorientedcobordismringMO*areconstructedtodeterminesomegroupsJn,kl1,l2,…,lmofcobordismclassesinMOncontainingarepresentativeMnadmittinga（Z2）k-actionwiththefixedpointsetof（n-li）-dimensionalsubmanifoldsofMn.

简介：Thewaveequationwithvariablecoefficientswithanonlineardissipativeboundaryfeedbackisstudied.BytheRiemanniangeometrymethodandthemultipliertechnique,itisshownthattheclosedloopsystemdecaysexponentiallyorasymptotically,andhencetherelationbetweenthedecayrateofthesystemenergyandthenonlinearitybehaviorofthefeedbackfunctionisestablished.

简介：让A是有顺序m和DA的衍生物的功能[(L)\dot]b\dot\Lambda_\beta(0<<1，|=m)。在纸的作者证明那如果(x，z)L(吗？n)

简介：Inthispaper,theasymptoticbehaviorasε→Ooftheminimizersu,oftheGinzburgLan-daufunctionalwithvariablecoefficientisdiscussed.Thesingularitiesarefoundtobelocatedatthepointswhichgloballyminimizethecoefficient.Thezerosofu,areaccumulatednearthesingulari-tiesasissmallenough.Thisverifiesthepinningmechanism.

简介：1.IntroductionAnimportsnttopicinQualityColltrolisthestudyofacceptancesamplingplan.Foravariablesamplingplan,thequalityofanitemismeasuredbyarandomvariable.Todesignavariablesamplingplanistodeterminethesamplesizeandthespecilicstionlicit(s).Manyschemeshav...

简介：作者讨论Lipschitz为有可变内核的fractionalmultilinear操作符的一个类的围住的海角。这些操作员两个都是从L~p的Lipschitzbounded到H~q，这被获得。

简介：Inthispaper,thevariablecofficientKdVequationwithdissipativelossandnonuniformitytermsandthevariablecoefficientSGequationwithnonuniformitytermarestudied.TheexactsolutionsoftheKdVandSGequationsareobtained.Inparticular,thesolitonsolutionsoftwoequationsarefound.

简介：Inthispaper,wewillprovetheboundednessofHardytypeoperatorsHβ(x)andH*β(x)ofvariableorderβ(x)onHerzspacesKα(·)p(·),qandKα(·)p(·),q’whereα(·)andp(·)arebothvariable.

简介：Byasingthenonclassicalmethodofsymmetryreductions,theexactsolutionsforgeneralvariable-coefficientKdVequationwithdissipativelossandnonuniformitytermsareobtained.Whenthedissipativelossandnonuniformitytermsdon'texist,themultisolitonsolutionsarefoundandthecorrespondingPainleveIItypeequationforthevariable-coefficientKdVequationisgiven.

简介：Inthepapertheauthorsestablishfourtheoremsontwo-independent-variableGronwall-typeinequalitiesinvolvingimproperintegralswithinfiniteintegrationlimits.Theresultsobtainedimproveandgeneralizethemainresultsprovedintherecentpaper[5]byA.Corduneanu.TwoclassesofnonlinearcontinuousfunctionsdefinedbyF.M.Dannan[6]areappliedinthisarticle.AndtheresultscanbeusedashandytoolsinthestudyofmanyVolterraintegralandintegro-differentialequationswithimproperintegralfunctionals.

简介：Let?∈L~2(S~(n-1))behomogeneousfunctionofdegreezeroandbbeBMOfunctions.Inthispaper,weobtainsomeboundednessoftheLittlewood-PaleyOperatorsandtheirhigher-ordercommutatorsonHerzspaceswithvariableexponent.

简介：为有驱散的可变系数的波浪方程的Cauchy问题的精力的腐烂被考虑。驱散是否能在无穷附近是局部性的，取决于可变系数给的一个Riemannian度量标准的弯曲性质，这被显示出。特别地，为局部性的驱散歧管的Riemannian的弯曲上的一些标准被给。

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简介：Thispaperproposesanewapproachforvariableselectioninpartiallylinearerrors-in-variables(EV)modelsforlongitudinaldatabypenalizingappropriateestimatingfunctions.WeapplytheSCADpenaltytosimultaneouslyselectsignificantvariablesandestimateunknownparameters.Therateofconvergenceandtheasymptoticnormalityoftheresultingestimatorsareestablished.Furthermore,withproperchoiceofregularizationparameters,weshowthattheproposedestimatorsperformaswellastheoracleprocedure.Anewalgorithmisproposedforsolvingpenalizedestimatingequation.Theasymptoticresultsareaugmentedbyasimulationstudy.

简介：Inthispaper,byapplyingthetechniqueofthesharpmaximalfunctionandtheequivalentrepresentationofthenormintheLebesguespaceswithvariableexponent,theboundednessoftheparameterizedLittlewood-Paleyoperators,includingtheparameterizedLusinareaintegralsandtheparameterizedLittlewood-Paleyg*λ-functions,isestablishedontheLebesguespaceswithvariableexponent.Furthermore,theboundednessoftheircommutatorsgeneratedrespectivelybyBMOfunctionsandLipschitzfunctionsarealsoobtained.