Singular Integrals and Differentiability Properties of FunctionsPrinceton University Press, 1970 - 287 páginas Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. |
Índice
SOME FUNDAMENTAL NOTIONS OF REALVARIABLE THEORY | 3 |
Behavior near general points of measurable sets | 12 |
An interpolation theorem for | 20 |
SINGULAR INTEGRALS | 26 |
Singular integral operators which commute with dilations | 38 |
Vectorvalued analogues | 45 |
RIESZ TRANSFORMS POISSON INTEGRALS AND SPHERICAL | 54 |
Poisson integrals and approximations to the identity | 60 |
82 | 135 |
The spaces A of Lipschitz continuous functions α | 141 |
The spaces A2 9 | 150 |
Further results | 159 |
EXTENSIONS AND RESTRICTIONS | 166 |
RETURN TO THE THEORY OF HARMONIC FUNCTIONS | 196 |
86 | 226 |
DIFFERENTIATION OF FUNCTIONS | 240 |
Higher Riesz transforms and spherical harmonics | 68 |
THE LITTlewoodPaleY THEORY AND MULTIPLIERS | 81 |
DIFFERENTIABILITY PROPERTIES IN TERMS OF FUNCTION SPACES | 116 |
Bessel potentials | 130 |
APPENDICES | 271 |
279 | |
289 | |
Otras ediciones - Ver todo
Singular Integrals and Differentiability Properties of Functions ..., Volumen 30 Elias M. Stein Vista previa restringida - 2016 |
Singular Integrals and Differentiability Properties of Functions Elias M. Stein Vista previa restringida - 1970 |