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：<正>LetD={z∈:|z|<1}andφbeanormalfunctionon[0,1).Forp∈(0,1)suchafunctionφisusedtodefineaBergmanspaceA~p(φ)onDwithweightφ~p(|·|)/(1-|·|~2).Inthispaper,thedualspaceofA~p(φ)isgiven,fourcharacteristicsofCarlesonmeasureonA~p(φ)areobtained.Moreover,asanapplication,threesequenceinterpolationtheoremsinA~p(φ)arederived.

简介：Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||p||.ItisawellknownopenproblemtoobtaininequalityanalogoustoBernstein’sinequalityfortheclassIInofpolynomialssatisfyingp(z)≡znp(1/z)HereweobtainaninequalityanalogoustoBernstein’sinequalityforasubclassofIInOurresultsincludeseveraloftheknownresultsasspecialcases.

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

简介：InthispaperwestudytheconvergencenfaclassofmeansonHp（G）（0<p<1）,themeanstaketheBochner-Rieszmeansin[1],thegeneralizedBochner-Rieszmeansin[2],andtheoperatorsTΦrin[3]asspecialcases.Weobtainweak-typeestimatesfortheassociatedmaximaloperatorsandthemaximalmeanboundednessforthemeans.

简介：在这份报纸，我们分类有限p组与确切顺序p的给定的结构的一A1亚群3。

简介：Inthispaper,wegetW1,p(Rn)-boundednessfortangentialmaximalfunc-tionandnontangentialmaximalfunction,whichimprovesJ.Kinnunen,P.LindqvistandTananka’sresults.

简介：设α是正实数,[α0;α1,α2。…]是α的简单连分数;d是非平方整数,d1、d2是适合d1d2=d,1≤d11,d2）=1的正整数,本文证明了:当且仅当α=（d2/d1）（1/2）时,α=[α0α1,…αn-1,2α0],其中α0>0,αi=αn-1（i=1…,α-1）.

简介：<正>WestudythesolvabilityoftheCauchyproblem（1.1）-（1.2）forthelargestpossibleclassofinitialvalues,forwhich（1.1）-（1.2）hasalocalsolution.Moreover,wealsostudythecriticalcaserelatedtotheinitialvalueu0,for1<p<∞.

简介：证明了指数型超椭圆方程x^2=p^2m-p^m＋n＋1无解（x，p，m，n），其中x，m，n∈N^＋，m〉n〉1，p∈P．上述结果部分解决了组合论中关于可逆Abel差集的Ma猜想．

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：Let(.theMuckenhouptclass).Inthispaper,theauthorintroducetheweightedHerz-typeHardyspaces(w2)andpresenttheiratomicdecomposition.Usingtheatomicdecomposition,theauthorfindouttheirdualspaces,establishtheboundednessonthesespacesofthepseudo-differentialoperatorsoforderzeroandshowthat,theclassofC(Rn)-functionswithcompactlysupport,isdenseinandthereisasubsequence,whichconvergesindistrbutionalsensetosomedistributionof,ofanyboundedsequenceinInaddition,theauthoralsosetuptheboundednessofsomenon-linearquantitiesincompensatedcompactness.

简介：InthispaperwestudythetheoreticalpropertiesofmultigridalgorithmfordiscretizationofthePoissonequationin2Dusingamortarelementmethodundertheassumptionthatthetriangulationsoneverysubdomainareuniform.WeprovetheconvergenceoftheW-cyclewithasufficientlylargenumberofsmoothingsteps.ThevariableV-cyclemultigridpreconditionerarealsoavailable.

简介：混乱理论教了我们很可能有非线性和随机的输入愿望的一个系统生产不规则的数据。如果随机的错误是不规则的数据，那么随机的错误过程将提起非线性(Kantz和Schreiber(1997))。Tsai(1986)与AR(1)错误在线性模型为自相关和heteroscedasticity介绍了合成测试。刘(2003)与DBL在非线性的模型为关联和heteroscedasticity介绍了合成测试(p，0,1)错误。因此，在回归模型的重要问题是bilinearity，关联和heteroscedasticity的察觉。在这篇文章，作者与DBL讨论非线性的模型的更一般的大小写(p，q，1)由20测试的随机的错误。为bilinearity，关联，和heteroscedasticity的测试的几统计在简单矩阵公式被获得，并且表示。有线性错误的回归模型的结果与双线性的错误被扩大到那些。模拟学习被执行调查测试统计的力量。这篇文章的所有结果扩大并且发展结果Tsai(1986)，魏，等(1995)，和刘，等(2003)。

简介：引进分次Armendariz环的概念,讨论了分次环R=n∈ZRn及由它导出的非分次环R,R0,及R[x]之间关于Armendariz环性质的关系,并推广了[8]的结论,得到在R=n∈ZRn是Z-型正分次环的前提下,若R是分次Armendariz,分次正规环,则R是P.P.环(Baer环)当且仅当R是分次P.P.环(分次Baer环).

简介：在Г-环中定义P-根，次P-根与拟P-根的概念，讨论它们的性质及相互间的关系．给出了次P-根的构造，证明了对Г-环的任一代数性质P，总可确定两个Amitsur-Kurosh根．同时，对Г-环的几个具体根的研究做了统一．拓广了Г-环根理论的研究领域．

简介：在MengerPN空间中研究了一类非线性算子方程Tx=μx+p(μ≥1)的解,得到了几个新的定理.同时,改进和推广了若干个重要结论.

简介：LetGbealocallycompactAbeliangroupwithHaarmeasure.TheauthorsdiscusssomebasicpropertiesofL_(w_1)~r(G)∩L(p,q,w_2dμ)(G)spaces.ThenthenecessaryconditionsforcompactembeddingsofthespacesL_(w_1)~r(R~d)∩L(p,q,w_2dμ)(R~d)areshowed.

简介：对[0,1]上的L—可积函数ф及α>0定义下列B—D—B算子;本文研究了Mna（ф,x）当α>0时,在LP(0,1]（1≤p<+∞）的一致逼近;当α≥1时在LP[O,1]及L1P[0,1]逼近度的量化估计。作者在文[4]中定义了B—D—B算子:其中fnk（X）称为Bézeief基函数文[4]研究的是B—D—B称子在C[0,1]空间中的逼近性质,本文继续[4]的工作,专研究这个算子在LP[0,1]（1≤P<+∞）的逼近性质,证明了Mna（фX）当α>0时在LP[0,1]中为一致逼近,并得到了当α≥1时在LP[0,1]及L1P[0,1]中逼近度的量化估计。

简介：InthispaperweestablishsharpH¨olderestimatesofharmonicfunctionsonaclassofconnectedpostcriticallyfinite(p.c.f.)self-similarsets,andshowthatfunctionsinthedomainofLaplacianenjoythesameproperty.Somewell-knownexamples,suchastheSierpinskigasket,theunitinterval,thelevel3Sierpinskigasket,thehexagasket,the3-dimensionalSierpinskigasket,andtheVicseksetarealsoconsidered.