图书介绍

有界解析函数 英文版PDF|Epub|txt|kindle电子书版本网盘下载

有界解析函数 英文版
  • JohnB.Garnett著 著
  • 出版社： 世界图书北京出版公司
  • ISBN：9787510005466
  • 出版时间：2010
  • 标注页数：463页
  • 文件大小：13MB
  • 文件页数：476页
  • 主题词：解析函数－英文

PDF下载


点此进入-本书在线PDF格式电子书下载【推荐-云解压-方便快捷】直接下载PDF格式图书。移动端-PC端通用
种子下载[BT下载速度快]温馨提示：（请使用BT下载软件FDM进行下载）软件下载地址页直链下载[便捷但速度慢]  [在线试读本书]   [在线获取解压码]
点击复制MD5值：97848c1e9e3f7e3a0d64b1060f439324

下载说明

有界解析函数 英文版PDF格式电子书版下载

下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。

点击复制85GB完整离线版磁力链接到迅雷FDM等BT下载工具进行下载  详情点击-查看共享计划
建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！

（文件页数 要大于 标注页数，上中下等多册电子书除外）

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

图书目录

Ⅰ．PRELIMINARIES1

1．Schwarz's Lemma1

2．Pick's Theorem5

3．Poisson Integrals10

4．Hardy-Littlewood Maximal Function19

5．Nontangential Maximal Function and Fatou's Theorem27

6．Subharmonic Functions32

Notes38

Exercises and Further Results39

Ⅱ．HP SPACES48

1．Definitions48

2．Blaschke Products51

3．Maximal Functions and Boundary Values55

4．(1/π)∫(log|f(t)|/(1+t2))dt>-∞61

5．The Nevanlinna Class66

6．Inner Functions71

7．Beurling's Theorem78

Notes83

Exercises and Further Results84

Ⅲ．CONJUGATE FUNCTIONS98

1．Preliminaries98

2．The LP Theorems106

3．Conjugate Functions and Maximal Functions111

Notes118

Exercises and Further Results120

Ⅳ．SOME EXTREMAL PROBLEMS128

1．Dual Extremal Problems128

2．The Carleson-Jacobs Theorem134

3．The Helson-Szeg？ Theorem139

4．Interpolating Functions of Constant Modulus145

5．Parametrization of K151

6．Nevanlinna's Proof159

Notes168

Exercises and Further Results168

Ⅴ．SOME UNIFORM ALGEBRA176

1．Maximal Ideal Spaces176

2．Inner Functions186

3．Analytic Discs in Fibers191

4．Representing Measures and Orthogonal Measures193

5．The Space L1/H 1 0198

Notes205

Exercises and Further Results206

Ⅵ．BOUNDED MEAN OSCILLATION215

1．Preliminaries215

2．The John-Nirenberg Theorem223

3．Littlewood-Paley Integrals and Carleson Measures228

4．Fefferman's Duality Theorem234

5．Vanishing Mean Oscillation242

6．Weighted Norm Inequalities245

Notes259

Exercises and Further Results261

Ⅶ．INTERPOLATING SEQUENCES275

1．Carleson's Interpolation Theorem275

2．The Linear Operator of Interpolation285

3．Generations289

4．Harmonic Interpolation292

5．Earl's Elementary Proof299

Notes304

Exercises and Further Results305

Ⅷ．THE CORONA CONSTRUCTION309

1．Inhomogeneous Cauchy-Riemann Equations309

2．The Corona Theorem314

3．Two Theorems on Minimum Modulus323

4．Interpolating Blaschke Products327

5．Carleson's Construction333

6．Gradients of Bounded Harmonic Functions338

7．AConstructive Solution of ？b/？=μ349

Notes357

Exercises and Further Results358

Ⅸ．DOUGLAS ALGEBRAS364

1．The Douglas Problem364

2．H∞+C367

3．The Chang-Marshall Theorem369

4．The Structure of Douglas Algebras375

5．The Local Fatou Theorem and an Application379

Notes384

Exercises and Further Results385

Ⅹ．INTERPOLATING SEQUENCES AND MAXIMAL IDEALS391

1．Analytic Discs in ？391

2．Hoffman's Theorem401

3．Approximate Dependence between Kernels406

4．Interpolating Sequences and Harmonic Separation412

5．A Constructive Douglas-Rudin Theorem418

Notes428

Exercises and Further Results428

BIBLIOGRAPHY434

INDEX453

热门推荐