赫兹型空间及其应用（英文版）

图书标准信息

• 作者 Shanzhen、Dachun、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元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 232页

【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