实Hp空间四讲
出版时间:
2008-08
版次:
1
ISBN:
9787506291842
定价:
49.00
装帧:
平装
开本:
24开
纸张:
胶版纸
页数:
217页
正文语种:
英语
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Thewholebookconsistsoffourchapters.ThebasictheoryofFefferman-SteinonrealHpspacesisbrieflyintroducedinChapter1.ThecontentsinChapter2involvetheatomicdecompositiontheoryandthemoleculardecompositiontheoryofrealHpspaces.Inaddition，thedualspacesofrealHpspaces，theinterpolationofoperatorsinHpspaces，andtheinterpolationofHpspacesarealsodiscussedinChapter2asaprerequisiteforChapters3and4.ThepropertiesofseveralbasicoperatorsinHpspaceswillbediscussedinChapter3indetail.Amongthem，somebasicresultsarecontributedbyChinesemathematicians，suchasthedecompositiontheoryofweakHpspacesanditsapplicationstothestudyonthesharpnessofsingularintegrals，anewmethodtodealwiththeellipticRieszmeansinHpspaces，andthetransferencetheoremofHpmultipliers，etc.ThelastchapterisdevotedtoapplicationsofrealHPspacestoapproximationtheory.ThematerialsinChapter4arefullycontributedbyChinesemathematicians. Preface
Chapter1RealVariableTheoryofHp（R2）Spaces
1DefinitionofHp（Rn）spaces
2Non-tangentialmaximalfunctions
3Grandmaximalfunctions
Chapter2DecompositionStructureTheoryofHp（Rn）Spaces
1Atom
2DualspaceofH1（Rn）
3Atomdecomposition
4DualspaceofHp（Rn）
5Interpolationofoperators
6InterpolationsofHpspaces;weakHpspaces
7Molecule;moleculedecomposition
8Applicationstotheboundednessofoperators
Chapter3ApplicationstoFourierAnalysis
1Fouriertransform
2TheFouriermultiplier
3TheRieszpotentialoperators
4Singularintegraloperators
5TheBochner-Rieszmeans
6TransferencetheoremsofHpmultipliers
Chpater4ApplicationstoApproximationTheory
1Kfunctional
2HPmultiplierandJackson-typeinequality
3HpmultiplierandBernsteintypeinequality
4ApproximationbyBochner-Rieszmeansatcriticalindex
References
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内容简介:
Thewholebookconsistsoffourchapters.ThebasictheoryofFefferman-SteinonrealHpspacesisbrieflyintroducedinChapter1.ThecontentsinChapter2involvetheatomicdecompositiontheoryandthemoleculardecompositiontheoryofrealHpspaces.Inaddition，thedualspacesofrealHpspaces，theinterpolationofoperatorsinHpspaces，andtheinterpolationofHpspacesarealsodiscussedinChapter2asaprerequisiteforChapters3and4.ThepropertiesofseveralbasicoperatorsinHpspaceswillbediscussedinChapter3indetail.Amongthem，somebasicresultsarecontributedbyChinesemathematicians，suchasthedecompositiontheoryofweakHpspacesanditsapplicationstothestudyonthesharpnessofsingularintegrals，anewmethodtodealwiththeellipticRieszmeansinHpspaces，andthetransferencetheoremofHpmultipliers，etc.ThelastchapterisdevotedtoapplicationsofrealHPspacestoapproximationtheory.ThematerialsinChapter4arefullycontributedbyChinesemathematicians.
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目录:
Preface
Chapter1RealVariableTheoryofHp（R2）Spaces
1DefinitionofHp（Rn）spaces
2Non-tangentialmaximalfunctions
3Grandmaximalfunctions
Chapter2DecompositionStructureTheoryofHp（Rn）Spaces
1Atom
2DualspaceofH1（Rn）
3Atomdecomposition
4DualspaceofHp（Rn）
5Interpolationofoperators
6InterpolationsofHpspaces;weakHpspaces
7Molecule;moleculedecomposition
8Applicationstotheboundednessofoperators
Chapter3ApplicationstoFourierAnalysis
1Fouriertransform
2TheFouriermultiplier
3TheRieszpotentialoperators
4Singularintegraloperators
5TheBochner-Rieszmeans
6TransferencetheoremsofHpmultipliers
Chpater4ApplicationstoApproximationTheory
1Kfunctional
2HPmultiplierandJackson-typeinequality
3HpmultiplierandBernsteintypeinequality
4ApproximationbyBochner-Rieszmeansatcriticalindex
References
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