Bücher
Service
| Preface | ||
| Guide to the Reader | ||
| Prologue | 3 | |
| I | Real-Variable Theory | 7 |
| II | More About Maximal Functions | 49 |
| III | Hardy Spaces | 87 |
| IV | H[superscript 1] and BMO | 139 |
| V | Weighted Inequalities | 193 |
| VI | Pseudo-Differential and Singular Integral Operators: Fourier Transform | 228 |
| VII | Pseudo-Differential and Singular Integral Operators: Almost Orthogonality | 269 |
| VIII | Oscillatory Integrals of the First Kind | 329 |
| IX | Oscillatory Integrals of the Second Kind | 375 |
| X | Maximal Operators: Some Examples | 433 |
| XI | Maximal Averages and Oscillatory Integrals | 467 |
| XII | Introduction to the Heisenberg Group | 527 |
| XIII | More About the Heisenberg Group | 587 |
| Bibliography | 645 | |
| Author Index | 679 | |
| Subject Index | 685 |
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L(superscript p) estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Elias M. Stein is Professor of Mathematics at Princeton University.
