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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：SomecharacterizationsoftheconditionalexpectationoperatorsonLebesgue-BochnerspacesL_p(μ,X)aregiven,where1≤p<∞,p≠2.AlsoanexampleisgiventoshowthatthecharacterizationsoftheconditionalexpectationoperatorsonL_p(μ,X)aredifferentfromthatonL_p(μ)_zFinally,arepresentationoftheconstant-preservingcontractiveprojectiononspacesL_p(μ,X)isgotwhen0<p<1.

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：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：Inthispaper,theLp-convergenceofGrünwaldinterpolationGn（f,x）basedonthezerosofJacobipolynomialsJ（α,β）n（x）（-1<α,β<1）isconsidered.Lp-convergence（0<p<2）ofGrünwaldinterpolationGn（f,x）isprovedforp·Max（α,β）<1.Moreover,Lp-convergence（p>0）ofGn（f,x）isobtainedfor-1<α,β≤0.Therefore,theresultsof[1]and[3-5]areimproved.

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简介：ThepaperisasurveyontheactionofBergmantypeprojectionsonvariousLpspaces.Thefocusisonthreetypesofholomorphicfunctionspaces:weightedBergmanspaces,theBlochspace,anddiagonalBesovspaces.

简介：设Lp^n＋p是截面曲率KL满足条件KL≥a（a是实数的伪黎曼空间，M^n（n≥2）是Lp^n＋p中的紧致类空子流形。本文得到了M^n上Laplacian算子的第一特征值的两个积分不等式。

简介：AcharacteristicoftheextendedCarlesonmeasureexpressedbythederivativesofLpfunctionsinRn+1+isobtained.

简介：让Sq-1，q≥2，联合起来的范围的表面在欧几里德几何学的spaceRq，f(x)∈Lp(Sq-1)，f(x)≥0，f吗？0，1≤p≤+∞。然后，它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f，吗δ)Lp=sup_(0

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简介：让L~p(Ω，H~n)为海森堡显示地图的L~p空间组目标。在这篇论文，一些新性质为空间L~p被获得(Ω，H~n)。

简介：在这份报纸，我们学习等轴的延期问题并且显示出那在Lp的联合起来的范围之间的每surjectiveisometry(???????D

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

简介：Thepurposeofthepresentpaperistoevaluatetheerroroftheapproximationofthefunc-tionfL1[0,1]byKantorovich-BernsteinpolynomialsinLp-metric（0<p<1）.

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

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简介：Let{Xk(t),t≥0},k=1,2,...,beasequenceofindependentGaussianprocesseswithaσ^2k(h)=E(Xk(t+h)--Xk(t))^2.Putσ(p,h)=(∞/∑/k=1σ^pk(h))^1/p,p≥1.Theauthorestablishesthelargeincrementresultsforboundedσ(p,h).

简介：Veryrecently,Yu,LeandZhouintroducedthesocalledΔ*B1andΔ*B2conditions,whicharegeneralizationsofthemonotonecondition.Byapplyingthesetwonewconditions,theauthoressentiallygeneralizestheclassicalresultsofChenonthenecessaryandsufficientconditionsoftheLpintegrabilityoftrigonometricseries.Infact,thepresentpapergivesthefirstresultonthenecessaryandsufficientconditionsoftheLpintegrabilityoftrigonometricseries,wherecoefficientsmayhavediffierentsigns.