《奇异积满分和函数的可微性》是 2011年世界图书出版公司出版的图书，作者是(美国)施泰恩(SteinE.M.) 。
《奇异积分和函数的可微性(英文)(影印版)》内容简介:Thisbookisanoutgrowthofacou来自rsewhichIgaveatOrsayduringtheacademicyear1966.67MYpurposeinthoselectureswast书宜临够类象opre-sentsomeoftherequiredbackgroundandatthesametimeclarifytheessentialunitythatexistsbetweenseveralrelatedareasofanalys360百科is.These击事只脸安仅法甲国防胡areasare:the子次歌existenceandboundednessofsingularintegralop-erat六死ors;theboundarybehaviorofhar坚福社食德吸monicfunctions;anddifferentia-bilitypropertiesoffunction没续积游席知机速香sofseveralvariables.ASsuchthecommoncoreofthesetopicsma元克他艺胡落听鲁军策ybesaidtorepr别声境下北子可尽查记esentoneofthecentraldevelop-mentsinn.dimensionalFourieranalysisduringthelasttwenty眼新冷演years，anditcanbeexpectedtohaveequalin行史困因留职害井fluencein跳们意thefuture.Thesepos.
PREFACE
NOTATION
I.SOME FUNDAMENTAL NOTIONS OF REA杀护型统L.VARIABLE THEORY
The ma顺稳井副ximal function
Behavior near general points of measurable sets
Decomp告osition in cubes of open sets in R"
问河江任技专期括错口支 An interpolation theorem for L
Further results
II.SINGULAR INTEGR年期判万考劳内ALS
Review of certain aspects of harmonic analysis in R"
Singular integrals:the heart of the matter
Singular 主犯文待整integrals:some extensions and variants of the
preceding
Singular integral operaters which commute with dilations
Vector.value袁环d analogues
Further results
III.RIESZ TRANSFORMS，POLSSON INTEGRALS，AND SPHERICAI HARMONICS
The Riesz transforms
Poisson integrals and approximations to the identity
Higher Riesz transforms and spherical harmonics
Further results
IV.THE LITTLEWOOD.PALEY THEORY AND MULTIPLIERS
The Littlewood-Paley g-function
The functiong
Multipliers(first version)
Application of the partial sums operators
The dyadic decomposition
The Marcinkiewicz multiplier theorem
Further results
V.DIFFERENTIABlLITY PROPERTIES IN TERMS OF FUNCTION SPACES
Riesz potentials
The Sobolev spaces
BesseI potentials
The spaces of Lipschitz continuous functions
The spaces
Further results
VI.EXTENSIONS AND RESTRICTIONS
Decomposition of open sets into cubes
Extension theorems of Whitney type
Extension theorem for a domain with minimally smooth
boundary
Further results
VII.RETURN TO THE THEORY OF HARMONIC FUNCTIONS
Non-tangential convergence and Fatou'S theorem
The area integral
Application of the theory of H"spaces
Further results
VIII.DIFFERENTIATION OF FUNCTIONS
Several qotions of pointwise difierentiability
The splitting of functions
A characterization 0f difrerentiability
Desymmetrization principle
Another characterization of difirerentiabiliW
Further results
APPENDICES
Some Inequalities
The Marcinkiewicz Interpolation Theorem
Some Elementary Properties of Harmonic Functions
Inequalities for Rademacher Functions
BlBLl0GRAPHY
INDEX
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