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Shanzhen、Dachun、Guoen Hu 著 / 科学出版社 / 2008-01 / 精装
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上书时间2021-12-02
赫兹型空间及其应用
ThebookisasummationofthestudybytheauthorsonHerzspacesinrecent20years.
Thecontentofthebookmainlyincludesthefollowingsides:decompositioncharacterizationofhomogeneousandnon-homogeneousHerzspacesintermsofcentralblocks,decompositioncharacterizationofhomogeneousandnon-homogeneousHerztypeHardyspacesintermsofcentralatomsandmolecules,interpolationsanddualsforHerztypespacesandapplicationsofabovedecompositioncharacterizationstoboundednessofoperators.
PrefaceChapter1HerzSpaces1.1Definitionsandsomebasicfacts1.2DualspacesoftheHerzspaces1.3BlockdecompositionsfortheHerzspaces1.4TheweakHerzspaces1.5NotesandrelatedresultsChapter2Herz-typeHardySpaces2.1Definitionsandbasicproperties2.2Theatomdecompositions2.3Themoleculardecompositions2.4WeightedHerztypeHardyspaces2.5EmbeddingtheoremsforHerz-typeHardyspaces2.6LocalHerz-typeHardyspaces2.7NotesandrelatedresultsChapter3Characterizationsofф-transformsandWaveletTransforms3.1ThediscreteweightedHerz-typetentspace3.2Theф-transformcharacterizations3.3Thewaveletcharacterizations3.4NotesandrelatedresultsChapter4InterpolationsforHerzTypeSpaces4.1ComplexinterpolationforHerzspacesofBanachtype4.2ThecomplexinterpolationforHerzspacesofquasi-Banachtype4.3Interpolationforfamilies4.4Interpolationformixedcouples4.5Notesandrelatedresults..Chapter5BoundednessofSublinearOperatorsonHerzSpaces5.1SublinearoperatorsonHerzspaces5.2Someweaktyperesults5.3RoughoperatorsonHerzspaces5.4g-functionandLusinareafunctioncharacterizationofHerzspaces5.5NotesandrelatedresultsChapter6BoundednessofSomeOperatorsonHerz-typeHardySpaces6.1OperatorsonHerz-typeHardyspace6.2Singularintegraloperators6.3OscillatoryintegraloperatorsonHerztypeHardyspaces6.4Bilinearoperators6.5MultiplierforHerztypeHardyspaces6.6NotesandrelatedresultsReferenceAppendixAAppendixB
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开播时间:09月02日 10:30