Sold Out
Book Categories |
Preface vii
List of Symbols xiii
Preliminaries
Schwarz's Lemma 1
Pick's Theorem 5
Poisson Integrals 10
Hardy-Littlewood Maximal Function 19
Nontangential Maximal Function and Fatou's Theorem 27
Subharmonic Functions 32
Notes 38
Exercises and Further Results 39
H[superscript P] Spaces
Definitions 48
Blaschke Products 51
Maximal Functions and Boundary Values 55
(1/[Pi]) [Integral] (log | f(t)|/(1+t2))dt [greater than] - [Infin] 61
The Nevanlinna Class 66
Inner Functions 71
Beurling's Theorem 78
Notes 83
Exercises and Further Results 84
Conjugate Functions
Preliminaries 98
The L[superscript p] Theorems 106
Conjugate Functions and Maximal Functions 111
Notes 118
Exercises and Further Results 120
Some Extremal Problems
Dual Extremal Problems 128
The Carleson-Jacobs Theorem 134
The Helson-Szego Theorem 139
Interpolating Functions ofConstant Modulus 145
Parametrization of K 151
Nevanlinna's Proof 159
Notes 168
Exercises and Further Results 168
Some Uniform Algebra
Maximal Ideal Spaces 176
Inner Functions 186
Analytic Discs in Fibers 191
Representing Measures and Orthogonal Measures 193
The Space L[superscript 1]/H[subscript 0][superscript 1] 198
Notes 205
Exercises and Further Results 206
Bounded Mean Oscillation
Preliminaries 215
The John-Nirenberg Theorem 223
Littlewood-Paley Integrals and Carleson Measures 228
Fefferman's Duality Theorem 234
Vanishing Mean Oscillation 242
Weighted Norm Inequalities 245
Notes 259
Exercises and Further Results 261
Interpolating Sequences
Carleson's Interpolation Theorem 275
The Linear Operator of Interpolation 285
Generations 289
Harmonic Interpolation 292
Earl's Elementary Proof 299
Notes 304
Exercises and Further Results 305
The Corona Construction
Inhomogeneous Cauchy-Riemann Equations 309
The Corona Theorem 314
Two Theorems on Minimum Modulus 323
Interpolating Blaschke Products 327
Carleson's Construction 333
Gradients of Bounded Harmonic Functions 338
A Constructive Solution of ab/az = [Mu] 349
Notes 357
Exercises and Further Results 358
Douglas Algebras
The Douglas Problem 364
H[superscript Infin] + C 367
The Chang-Marshall Theorem 369
The Structure of Douglas Algebras 375
The Local Fatou Theorem and an Application 379
Notes 384
Exercises and Further Results 385
Interpolating Sequences and Maximal Ideals
Analytic Discs in M 391
Hoffman's Theorem 401
Approximate Dependence between Kernels 406
Interpolating Sequences and Harmonic Separation 412
A Constructive Douglas-Rudin Theorem 418
Notes 428
Exercises and Further Results 428
Bibliography 434
Index 453
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish ListX
This item is in your CollectionBounded Analytic Functions
X
This Item is in Your InventoryBounded Analytic Functions
X
You must be logged in to review the productsX
X
X
Add Bounded Analytic Functions, , Bounded Analytic Functions to the inventory that you are selling on WonderClubX
X
Add Bounded Analytic Functions, , Bounded Analytic Functions to your collection on WonderClub |