简介：Hardy-Littlewood最大的操作员的二归纳被考虑。为他们的一些估计被获得。

简介：TheauthorsgiveacharacterizationofcentralboundedmeanoscillationspaceCBMO2(Rγ)intermsofthecentralCarlesonmeasure.Usingthischaracter,theauthorsestablishtheCBMO2(Rγ)-boundednessforseveralclassesofgeneralLittlewood-Paleyoperators.

简介：

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

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

简介：在这篇论文，我们使用分离Littlewood-Paley分析获得分离Littlewood-Paley方形的功能描绘的参数的任意的数字的强壮的空格并且导出单个不可分的操作符的固定在上并且从。关键词multiparameter哈迪空间-分离Littlewood-Paley-Stein分析-分离考尔德贸n身份-几乎orthogonality估计AMS(2010)题目分类42B20-42B25-42B30

简介：著名的Hardy-Littlewood不等式在分析数学及其应用中均起着重要的作用.但要求出该不等式中的最佳常数的值,却是一个困难的问题.为此,笔者在《常用不等式》（第3版）中曾将该问题作为未解决问题中的第109题.在笔者论文＂关于Hardy-Littlewood不等式中的最佳常数＂的基础上,通过将求最佳常数问题转化为求相应的算子范数等新的分析技巧,得到了HardyLittlewood积分算子的范数不等式.作为它的推广,得到n维向量空间上具有径向核的新的积分算子范数不等式.

简介：Inthispaper,wemainlyinvestigatetheboundednessofLittlewood-Paleyfunctionsandpseudo-differentialoperatorsonweightedHerz-typeHardyspacesoverlocallycompactVilenkingroups.

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