数学研究生教材：现代傅里叶分析（英文）（第2版）（影印版）

图书标准信息

• 作者 [美]格拉法克斯（Grafakos L.） 著
• 出版社 世界图书出版公司
• 出版时间 2011-01
• 版次 1
• ISBN 9787510040603
• 定价 59.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 504页
• 正文语种 英语

【内容简介】

ThegreatresponsetothepublicationofthebookClassicalandModernFourierAnalysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublishthesecondeditionofthisbookintwovolumes：ClassicalFourierAnalysis，2ndEdition，andModernFourierAnalysis，2ndEdition.
ThesevolumesaremainlyaddressedtograduatestudentswhowishtostudyFourieranalysis.Thissecondvolumeisintendedtoserveasatextforasecond-semestercourseinthesubject.Itisdesignedtobeacontinuationofthefirstvolume.Chapters1-5inthefirstvolumecontainLebesguespaces，Lorentzspacesandinterpolation，maximalfunctions，Fouriertransformsanddistributions，anintroductiontoFourieranalysisonthen-torus，singularintegralsofconvolutiontype，andLittlewood-Paleytheory.

【目录】

6SmoothnessandFunctionSpaces
6.1RieszandBesselPotentials,FractionalIntegrals
6.1.1RieszPotentials
6.1.2BesselPotentials
Exercises
6.2SobolevSpaces
6.2.1DefinitionandBasicPropertiesofGeneralSobolevSpaces
6.2.2Littlewood-PaleyCharacterizationofInhomogeneousSobolevSpaces
6.2.3Littlewood-PaleyCharacterizationofHomogeneousSobolevSpaces
Exercises
6.3LipschitzSpaces
6.3.1IntroductiontoLipschitzSpaces
6.3.2Littlewood-PaleyCharacterizationofHomogeneousLipschitzSpaces
6.3.3Littlewood-PaleyCharacterizationofInhomogeneousLipschitzSpaces
Exercises
6.4HardySpaces
6.4.1DefinitionofHardySpaces
6.4.2QuasinormEquivalenceofSeveralMaximalFunctions
6.4.3ConsequencesoftheCharacterizationsofHardySpaces
6.4.4Vector-ValuedHpandItsCharacterizations
6.4.5SingularIntegralsonHardySpaces
6.4.6TheLittlewood-PaleyCharacterizationofHardySpaces
Exercises
6.5Besov-LipschitzandTriebel-LizorkinSpaces
6.5.1IntroductionofFunctionSpaces
6.5.2EquivalenceofDefinitions
Exercises
……
7BMOandCarlesonMeasures
8SingularIntegralsofNonconvolutionType
9WeightedInequalities
10BoundednessandConvergenceofFourierIntegrals
11Time-FrequencyAnalysisandtheCarleson-HuntTheorem
Glossary
References
Index