点击选择搜索分类
首页 - 政治理论- 正文
☆☆☆☆☆
||
[美] 加耐特 著
出版社: 世界图书出版公司 ISBN:9787510005466 版次:1 商品编码:10104518 包装:平装 外文名称:Bounded Analytic Functions 开本:24开 出版时间:2010-01-01 用纸:胶版纸 页数:459 正文语种:英语
List of Symbols
Ⅰ. PRELIMINARIES
Schwarzs Lemma
Picks Theorem
Poisson Integrals
Hardy-Littlewood Maximal Function
Nontangential Maximal Function and Fatous Theorem
Subharmonic Functions
Notes
Exercises and Further Results
Ⅱ. Hp SPACES
Definitions
Blaschke Products
Maximal Functions and Boundary Values
(1/π) f(log |f(t)l/(1 + t2))dt > - ∞
The Nevanlinna Class
Inner Functions
Beurlings Theorem
Notes
Exercises and Further Results
Ⅲ. CONJUGATE FUNCTIONS
Preliminaries
The Lp Theorems
Conjugate Functions and Maximal Functions
Notes
Exercises and Further Results
Ⅳ. SOME EXTREMAL PROBLEMS
Dual Extremal Problems
The Carleson-Jacobs Theorem
The Helson-Szeg6 Theorem
Interpolating Functions of Constant Modulus
Parametrization of K
Nevanlinnas Proof
Notes
Exercises and Further Results
Ⅴ. SOME UNIFORM ALGEBRA
Maximal Ideal Spaces
Inner Functions
Analytic Discs in Fibers
Representing Measures and Orthogonal Measures
The Space Ll/Hd
Notes
Exercises and Further Results
Ⅵ. BOUNDED MEAN OSCILLATION
Preliminaries
The John-Nirenberg Theorem
Littlewood-Paley Integrals and Carleson Measures
Feffermans Duality Theorem
Vanishing Mean Oscillation
Weighted Norm Inequalities
Notes
Exercises and Further Results
Ⅶ. INTERPOLATING SEQUENCES
Carlesons Interpolation Theorem
The Linear Operator of Interpolation
Generations
Harmonic Interpolation
Earls Elementary Proof
Notes
Exercises and Further Results
Ⅷ. THE CORONA CONSTRUCTION
Inhomogeneous Cauchy-Riemann Equations
The Corona Theorem
Two Theorems on Minimum Modulus
Interpolating Blaschke Products
Carlesons Construction
Gradients of Bounded Harmonic Functions
A Constructive Solution of
Notes
Exercises and Further Results
Ⅸ. DOUGLAS ALGEBRAS
The Douglas Problem
Hoo + C
The Chang-Marshall Theorem
The Structure of Douglas Algebras
The Local Fatou Theorem and an Application
Notes
Exercises and Further Results
Ⅹ. INTERPOLATING SEQUENCES AND MAXIMAL IDEALS
Analytic Discs in 99l
Hoffmans Theorem
Approximate Dependence between Kernels
Interpolating Sequences and Harmonic Separation
A Constructive Douglas-Rudin Theorem
Notes
Exercises and Further Results
BIBLIOGRAPHY
INDEX
I had planned to prepare a second edition with an updated bibliography and anappendix on results new in the field since 1981, but that work has been postponed fortoo long. In the meantime several excellent related books have appeared, includingM. Andersson, Topics in Complex Analysis; G. David and S. Semmes, SingularIntegrals and Rectifiable Sets in Rn and Analysis of and on Uniformly Rectifi-able Sets; S. Fischer, Function theory on planar domains; P. Koosis, Introductionto Hp spaces, Second edition; N. Nikolski, Operators, Functions, and Systems;K. Seip, Interpolation and Sampling in Spaces of Analytic Functions; and B. Simon,Orthogonal Polynomials on the Unit Circle.
有界解析函数(修订版)(英文版) [Bounded Analytic Functions] 电子书 下载 mobi epub pdf txt
有界解析函数(修订版)(英文版) [Bounded Analytic Functions]-so88
有界解析函数(修订版)(英文版) [Bounded Analytic Functions] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 加耐特 著
出版社: 世界图书出版公司 ISBN:9787510005466 版次:1 商品编码:10104518 包装:平装 外文名称:Bounded Analytic Functions 开本:24开 出版时间:2010-01-01 用纸:胶版纸 页数:459 正文语种:英语
内容简介
This edition of Bounded Analytic Functions is the same as the first edition exceptfor the corrections of several mathematical and typographical errors. I thank themany colleagues and students who have pointed out errors in the first edition.These include S. Axler, C. Bishop, A. Carbery, K. Dyakonov, J. Handy, V. Havin, H.Hunziker, E Koosis, D. Lubinsky, D. Marshall, R. Mortini, A. Nicolau, M. ONeill,W. Rudin, D. Sarason, D. Suarez, C. Sundberg, C. Thiele, S. Treil, L Uriarte-Tuero,J. Vaisali, N. Varopoulos, and L. Ward.内页插图
目录
PrefaceList of Symbols
Ⅰ. PRELIMINARIES
Schwarzs Lemma
Picks Theorem
Poisson Integrals
Hardy-Littlewood Maximal Function
Nontangential Maximal Function and Fatous Theorem
Subharmonic Functions
Notes
Exercises and Further Results
Ⅱ. Hp SPACES
Definitions
Blaschke Products
Maximal Functions and Boundary Values
(1/π) f(log |f(t)l/(1 + t2))dt > - ∞
The Nevanlinna Class
Inner Functions
Beurlings Theorem
Notes
Exercises and Further Results
Ⅲ. CONJUGATE FUNCTIONS
Preliminaries
The Lp Theorems
Conjugate Functions and Maximal Functions
Notes
Exercises and Further Results
Ⅳ. SOME EXTREMAL PROBLEMS
Dual Extremal Problems
The Carleson-Jacobs Theorem
The Helson-Szeg6 Theorem
Interpolating Functions of Constant Modulus
Parametrization of K
Nevanlinnas Proof
Notes
Exercises and Further Results
Ⅴ. SOME UNIFORM ALGEBRA
Maximal Ideal Spaces
Inner Functions
Analytic Discs in Fibers
Representing Measures and Orthogonal Measures
The Space Ll/Hd
Notes
Exercises and Further Results
Ⅵ. BOUNDED MEAN OSCILLATION
Preliminaries
The John-Nirenberg Theorem
Littlewood-Paley Integrals and Carleson Measures
Feffermans Duality Theorem
Vanishing Mean Oscillation
Weighted Norm Inequalities
Notes
Exercises and Further Results
Ⅶ. INTERPOLATING SEQUENCES
Carlesons Interpolation Theorem
The Linear Operator of Interpolation
Generations
Harmonic Interpolation
Earls Elementary Proof
Notes
Exercises and Further Results
Ⅷ. THE CORONA CONSTRUCTION
Inhomogeneous Cauchy-Riemann Equations
The Corona Theorem
Two Theorems on Minimum Modulus
Interpolating Blaschke Products
Carlesons Construction
Gradients of Bounded Harmonic Functions
A Constructive Solution of
Notes
Exercises and Further Results
Ⅸ. DOUGLAS ALGEBRAS
The Douglas Problem
Hoo + C
The Chang-Marshall Theorem
The Structure of Douglas Algebras
The Local Fatou Theorem and an Application
Notes
Exercises and Further Results
Ⅹ. INTERPOLATING SEQUENCES AND MAXIMAL IDEALS
Analytic Discs in 99l
Hoffmans Theorem
Approximate Dependence between Kernels
Interpolating Sequences and Harmonic Separation
A Constructive Douglas-Rudin Theorem
Notes
Exercises and Further Results
BIBLIOGRAPHY
INDEX
前言/序言
This edition of Bounded Analytic Functions is the same as the first edition exceptfor the corrections of several mathematical and typographical errors. I thank themany colleagues and students who have pointed out errors in the first edition.These include S. Axler, C. Bishop, A. Carbery, K. Dyakonov, J. Handy, V. Havin, H.Hunziker, E Koosis, D. Lubinsky, D. Marshall, R. Mortini, A. Nicolau, M. ONeill,W. Rudin, D. Sarason, D. Suarez, C. Sundberg, C. Thiele, S. Treil, L Uriarte-Tuero,J. Vaisali, N. Varopoulos, and L. Ward.I had planned to prepare a second edition with an updated bibliography and anappendix on results new in the field since 1981, but that work has been postponed fortoo long. In the meantime several excellent related books have appeared, includingM. Andersson, Topics in Complex Analysis; G. David and S. Semmes, SingularIntegrals and Rectifiable Sets in Rn and Analysis of and on Uniformly Rectifi-able Sets; S. Fischer, Function theory on planar domains; P. Koosis, Introductionto Hp spaces, Second edition; N. Nikolski, Operators, Functions, and Systems;K. Seip, Interpolation and Sampling in Spaces of Analytic Functions; and B. Simon,Orthogonal Polynomials on the Unit Circle.
有界解析函数(修订版)(英文版) [Bounded Analytic Functions] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 岩石与矿物 9787203101406
- 设计曼陀罗 黑川雅之
- 变系数空间计量模型的理论和应用
- 琴苑走笔
- 中国历史地图+手绘中国地理地图人文版洋洋兔绘本全套2册 中国百科地图绘本4-8-12岁儿
- 我的第一本汉字书(共4册)(精)
- BF-化学的足迹-改变世界的科学-邓小丽,万立荣,杨捷,周玉枝,徐祖辉 上海科技教育出版社
- 城镇市容环境卫生劳动定额 HLD47-101-2008 中华人民共和国住房和城乡建设部 著作 建筑/
- 黄河口观鸟指南 9787504677648
- 18秋 五年级上册 写字课课练 苏教版 司马彦字帖 5年级上册 小学生教辅书练习册 硬笔
- 超霸舰艇-兵器帝国大揭秘-儿童视觉大系
- 海润阳光.宝宝视觉激发卡(共4册) [0-2岁]
- 暴力解剖:犯罪的生物学根源 9787229110796
- 【5本29.8元包邮】十万个为什么注音版儿童书籍 中小学生课外书籍
- 铀之战:开启核时代的科学博弈:the scientific rivalry that cr