简介:首先研究了Kleene-Stone代数的由素滤子生成的同余关系的性质,然后在此基础上给出了Kleene-Stone代数的分类,最后证明了对每个KS-n代数L(n),存在一个商代数L(n)/~嵌入于有限的KS-n代数Ω(n)中.
简介:Inthispaper,weshallestablishthateachweaksolutionofp-harmonictypesystemswiththegradientsbelowthecontrollablegrowthbelongsto,HldercontinuityspaceswithanyHlderexponenta∈[0,1).Furthermore,wecanobtainthatthegradientsofthecorrespondingweaksolutionsalsobelongtolocallyHldercontinuityspaceswithsomeHlderexponent.
简介:InthispaperL^p-L^qestimatesforthesolutionu(x,t)tothefollowingperturbedhigh-erorderhyperbolicequationareconsidered,(ρπ--a△)(ρπ--b△)u+V(x)u=O,x∈R^n,n≥6,ρ1eu(x,O)=O,ρ^3eu(x,O)=f(x),(j=O,1,2).WeassumethattheotentialV(x)andtheinitialdataf(x)arecompactlysupported,andV(x)issufficientlysmall,thenthesolutionu(x,t)oftheaboveproblemsatisfiesthesameL^p-L^qestimatesasthatoftheunperturbedproblem.
简介:Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.
简介:Inthispaper,thenotionofp-waveletpacketsonthepositivehalf-lineR+isintroduced.Anewmethodforconstructingnon-orthogonalwaveletpacketsrelatedtoWalshfunctionsisdevelopedbysplittingthewaveletsubspacesdirectlyinsteadofusingthelowpassandhigh-passfiltersassociatedwiththemultiresolutionanalysisasusedintheclassicaltheoryofwaveletpackets.Further,themethodovercomesthedifficultyofconstructingnon-orthogonalwaveletpacketsofthedilationfactorp>2.
简介:Let(.theMuckenhouptclass).Inthispaper,theauthorintroducetheweightedHerz-typeHardyspaces(w2)andpresenttheiratomicdecomposition.Usingtheatomicdecomposition,theauthorfindouttheirdualspaces,establishtheboundednessonthesespacesofthepseudo-differentialoperatorsoforderzeroandshowthat,theclassofC(Rn)-functionswithcompactlysupport,isdenseinandthereisasubsequence,whichconvergesindistrbutionalsensetosomedistributionof,ofanyboundedsequenceinInaddition,theauthoralsosetuptheboundednessofsomenon-linearquantitiesincompensatedcompactness.
简介:在本文中,主要讨论了(p,λ)-Koszul模范畴(Kλ~P(A))和线性表示模范畴(L(A))两者之间的关系.特别地,我们得到了KλP(A)=L(A)的一些充分必要条件.
简介:InthispaperwestudythetheoreticalpropertiesofmultigridalgorithmfordiscretizationofthePoissonequationin2Dusingamortarelementmethodundertheassumptionthatthetriangulationsoneverysubdomainareuniform.WeprovetheconvergenceoftheW-cyclewithasufficientlylargenumberofsmoothingsteps.ThevariableV-cyclemultigridpreconditionerarealsoavailable.
简介:ThepaperisacontributiontotheproblemofapproximatingrandomsetwithvaluesinaseparableBanachspace.Thisclassofset-valuedfunctioniswidelyusedinmanyareas.Weinvestigatethepropertiesofp-boundedintegrablerandomset.Basedonthisweendowitwith△pmetricwhichcanbeviewedasaintegraltypehausdorffmetricandpresentsomeapproximationtheoremofaclassofconvolutionoperatorswithrespectto△pmetric.Moreoverwealsocanestablishanalogoustheoremforotherintegraltypeoperatorin△pspace.