简介：引入了L-空间和L-空间上的KKM类映射，建立了关于该类映射的一些不动点定理，其中包括Schauder型和Fan-Browder型不动点定理．得到了L-空间中的KyFan匹配定理和叠合点定理．

简介：考虑了两类有理插值型算子的Jackson型估计.当p>1时,建立了Dilzian-Totik型定理,当p=1时,利用通常连续模给出了Jackson型估计.

简介：设T（t)是L^q(1＜q＜∞）空间上的Co-半群，A为其元穷小生成元。本文证明若T（t)是弱L^p稳定的，则其生成元的谱界是负的。由LotzWeis最近得到的关于L^q(Ω）空间中正Co半群的增长界等于生成元的谱界这一结果得出，L^q(Ω）空间中正Co半群弱L^p稳定与与指数稳定等价。

简介：Ｐ．Ｎ．Ｄｏｗｌｉｎｇ和Ｃ．Ｊ．Ｌｅｎｎａｒｄ证明了含渐近等距于ｌ１子空间的Ｂａｎａｃｈ空间不具有不动点性质．本文以对偶形式给出了Ｂａｎａｃｈ空间合渐近等距于ｌ１或ｃ０子空间的充分必要条件，并证明了当一个Ｂａｎａｃｈ空间含有渐近等距于ｌ∞子空间时它必含有渐近等于ｌ１子空间．

简介：讨论了L1[0,1]空间最佳单调逼近的极端点问题,给出了相应的结果.

简介：给出了两种插值算子，并研究了它们在L^2πp和Lp(R)空间上的逼近阶，用实数α阶的积分模给出逼近度。

简介：证明了(C-K)性质,(S-K)性质,L-KR空间,L-KS空间和CL-KR空间和CL-KS空间的一些充要条件.这些条件表明了(C-K)与(S-K)性质,L-KR与L-KS空间及CL-KR空间与CL-KS空间之间的对偶性质.

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：<正>InthispaperitisprovedthatforallcompletelydistributivelatticesL.thecategoryofL-fuzzifyingtopologicalspacescanbewmbeddedinthecategoryofL-topologicalspaces(stratifiedChang-Goguenspaces)asasimultaneouslybireflectiveandbicoreflectivefullsubcategory.

简介：TwocharacterizationtheoremsofcontinuousL-domainaregiven.ThenaproblemraisedbyJ.D.LawsonandM.Misloveissolved.

简介：Weconsiderforafixedμ,theclassofpolynomialsPn,μ,s:=P(z)=zsanzn-s+n-s∑j=μan-jzn-j-s;1≤μ≤n-sofdegreen,havingallzerosin|z|≤k,k≤1,withs-foldzerosattheorigin.Inthispaper,wehaveobtainedinequalitiesinthereversedirectionfortheaboveclassofpolynomials.Besides,extensionsofsomeTuran-typeinequalitiesforthepolarderivativeofpolynomialshavebeenconsidered.

简介：Lp-LqdecayestimateofsolutiontoCauchyproblemofalinearthermoviscoelasticsystemisstudied.Byusingadiagonalizationargumentoffrequencyanalysis,thecoupledsystemwillbedecoupledmicrologically.Thenwiththehelpoftheinformationofcharacteristicrootsforthecoefficientmatrixofthesystem,Lp-LqdecayestimateofparabolictypeofsolutiontotheCauchyproblemisobtained.

简介：建立了转移开覆盖的一个新的KyFan型匹配定理．作为应用，获得了Fan-Browder重合定理，不动点定理、极大元定理，相交定理和截口定理．

简介：1.IntroductionInthispaperweconsiderCauchyproblemforaclassofnonhomogeneousNavier-Stokesequationsintheinfinitecylinderwith.Givensatisfyinginthedistributionsensediv,weseekasolutionvectorandapressurefunctionP(t,x)suchthatwhereisanonlinearvector-valuedfun...

简介：利用Jensen不等式,Steklov变换,Cauchy积分主值讨论了一类离散指数型线性积分修正插值算子在Orlicz空间L*M(-∞,∞)中的逼近问题,给出了收敛速度的估计.

简介：Inthispaper,weshalldealwiththeboundednessoftheLittlewood-Paleyoperatorswithroughkernel.WeprovetheboundednessoftheLusin-areaintegralμΩ,sandLittlewood-PaleyfunctionsμΩandμλontheweightedamalgamspaces(Lqω,Lp)α(Rn)as1

简介：We’llstudytheFEMforamodelforcompressiblemiscibledisplacementinporousmediawhichincludesmoleculardiffusionandmechanicaldispersioninone-dimensionalspace.Aclassofvertices-edges-elementsinterpolationoperatorinkisintroduced.Withthehelpofink(notellipticprojection),theoptimalerrorestimateinL∞(J;L2(Ω))normofFEMisproved.

简介：作者表演(部分)quarternion组上的标准LanglandsL功能在某些积极整数有至多简单的杆。

简介：Inthispaper,theLp-convergenceofGrünwaldinterpolationGn（f,x）basedonthezerosofJacobipolynomialsJ（α,β）n（x）（-1<α,β<1）isconsidered.Lp-convergence（00）ofGn（f,x）isobtainedfor-1<α,β≤0.Therefore,theresultsof[1]and[3-5]areimproved.

简介：WeconsiderdiffusivelimitoftheBoltzmannequationinaperiodicbox.WeestablishL~6estimateforthehydrodynamicpartPfofparticledistributionfunction,whichleadstouniformboundsglobalintime.