赫兹型空间及其应用

赫兹型空间及其应用

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作者: Shanzhen 著 , Dachun 著 , Guoen Hu 著

出版社: 科学出版社

出版时间: 2008-01

版次: 1

ISBN: 9787030209092

定价: 56.00

装帧: 精装

开本: 16开

纸张: 胶版纸

页数: 232页

分类: 自然科学

18人买过

ThebookisasummationofthestudybytheauthorsonHerzspacesinrecent20years.
Thecontentofthebookmainlyincludesthefollowingsides：decompositioncharacterizationofhomogeneousandnon-homogeneousHerzspacesintermsofcentralblocks，decompositioncharacterizationofhomogeneousandnon-homogeneousHerztypeHardyspacesintermsofcentralatomsandmolecules，interpolationsanddualsforHerztypespacesandapplicationsofabovedecompositioncharacterizationstoboundednessofoperators. Preface
Chapter1HerzSpaces
1.1Definitionsandsomebasicfacts
1.2DualspacesoftheHerzspaces
1.3BlockdecompositionsfortheHerzspaces
1.4TheweakHerzspaces
1.5Notesandrelatedresults

Chapter2Herz-typeHardySpaces
2.1Definitionsandbasicproperties
2.2Theatomdecompositions
2.3Themoleculardecompositions
2.4WeightedHerztypeHardyspaces
2.5EmbeddingtheoremsforHerz-typeHardyspaces
2.6LocalHerz-typeHardyspaces
2.7Notesandrelatedresults

Chapter3Characterizationsofф-transformsandWaveletTransforms
3.1ThediscreteweightedHerz-typetentspace
3.2Theф-transformcharacterizations
3.3Thewaveletcharacterizations
3.4Notesandrelatedresults

Chapter4InterpolationsforHerzTypeSpaces
4.1ComplexinterpolationforHerzspacesofBanachtype
4.2ThecomplexinterpolationforHerzspacesofquasi-Banachtype
4.3Interpolationforfamilies
4.4Interpolationformixedcouples
4.5Notesandrelatedresults..

Chapter5BoundednessofSublinearOperatorsonHerzSpaces
5.1SublinearoperatorsonHerzspaces
5.2Someweaktyperesults
5.3RoughoperatorsonHerzspaces
5.4g-functionandLusinareafunctioncharacterizationofHerzspaces
5.5Notesandrelatedresults

Chapter6BoundednessofSomeOperatorsonHerz-typeHardySpaces
6.1OperatorsonHerz-typeHardyspace
6.2Singularintegraloperators
6.3OscillatoryintegraloperatorsonHerztypeHardyspaces
6.4Bilinearoperators
6.5MultiplierforHerztypeHardyspaces
6.6Notesandrelatedresults
Reference
AppendixA
AppendixB
内容简介:
ThebookisasummationofthestudybytheauthorsonHerzspacesinrecent20years.
Thecontentofthebookmainlyincludesthefollowingsides：decompositioncharacterizationofhomogeneousandnon-homogeneousHerzspacesintermsofcentralblocks，decompositioncharacterizationofhomogeneousandnon-homogeneousHerztypeHardyspacesintermsofcentralatomsandmolecules，interpolationsanddualsforHerztypespacesandapplicationsofabovedecompositioncharacterizationstoboundednessofoperators.
目录:
Preface
Chapter1HerzSpaces
1.1Definitionsandsomebasicfacts
1.2DualspacesoftheHerzspaces
1.3BlockdecompositionsfortheHerzspaces
1.4TheweakHerzspaces
1.5Notesandrelatedresults

Chapter2Herz-typeHardySpaces
2.1Definitionsandbasicproperties
2.2Theatomdecompositions
2.3Themoleculardecompositions
2.4WeightedHerztypeHardyspaces
2.5EmbeddingtheoremsforHerz-typeHardyspaces
2.6LocalHerz-typeHardyspaces
2.7Notesandrelatedresults

Chapter3Characterizationsofф-transformsandWaveletTransforms
3.1ThediscreteweightedHerz-typetentspace
3.2Theф-transformcharacterizations
3.3Thewaveletcharacterizations
3.4Notesandrelatedresults

Chapter4InterpolationsforHerzTypeSpaces
4.1ComplexinterpolationforHerzspacesofBanachtype
4.2ThecomplexinterpolationforHerzspacesofquasi-Banachtype
4.3Interpolationforfamilies
4.4Interpolationformixedcouples
4.5Notesandrelatedresults..

Chapter5BoundednessofSublinearOperatorsonHerzSpaces
5.1SublinearoperatorsonHerzspaces
5.2Someweaktyperesults
5.3RoughoperatorsonHerzspaces
5.4g-functionandLusinareafunctioncharacterizationofHerzspaces
5.5Notesandrelatedresults

Chapter6BoundednessofSomeOperatorsonHerz-typeHardySpaces
6.1OperatorsonHerz-typeHardyspace
6.2Singularintegraloperators
6.3OscillatoryintegraloperatorsonHerztypeHardyspaces
6.4Bilinearoperators
6.5MultiplierforHerztypeHardyspaces
6.6Notesandrelatedresults
Reference
AppendixA
AppendixB

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赫兹型空间及其应用 Shanzhen Dachun Guoen Hu 科学出版社 9787030209092

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