各向异性加权Herz型Hardy空间.pdf

应用 数学 MATHEMATICA APPLICATA 2010。23(2J：252—260 Anisotropic WeightedHerz‘-typeHardySpaces ZHA0 Kai(赵凯)，ZHANGXia(张霞)，ZHOU Shu-juan(淑娟) (College 266071，China) ofMathematics，QingdaoUniversity，Qingdao Abstract：Inthis introducethe paper。we withthere— anisotropicweightedHerz-typeHardyspaces aImatrixdilationAand function．andestablishthe Lpboundednessthe theAl—weighted weighted of maximal the L’boundedness，the function．By atomic ofthe weighted decompositionanisotropic isobtained． weightedHerz-typeHardyspace Key spaces CLC Number：0174．2 AMS(2000)SubjectClassification：42830；42820 Document Article code：A ID：1001-9847(2010)02—0252—09 1．IntrOductiOn functiononEuclideantootherdomainsand Extendingspaces spaces set．． non．—isotropic isan ofharmonic themiddleof and tings importantpart analysis．From 1970’S，Calder6n the of onR”with Torchinsky…5]initiatedstudyHardyspaces non—isotropic have authorscontinuedthe offunctionassociatedwithsome wards，many study spaces spe— cialmatrix introducedand the dilations[10’11]．In[1]，Bownik investigatedanisotropicHardy associatedwith di