Real-Variable Methods in Harmonic Analysis

by Alberto Torchinsky

Overview

This text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.

Product Details

ISBN-13:	9780486435084
Publisher:	Dover Publications
Publication date:	04/09/2004
Series:	Dover Books on Mathematics Series
Pages:	480
Product dimensions:	5.37(w) x 8.50(h) x (d)

Table of Contents

1. Fourier Series
2. Cesaro Summability
3. Norm Convergence of Fourier Series
4. The Basic Principles
5. The Hilbert Transform and Multipliers
6. Paley's Theorem and Fractional Integration
7. Harmonic and Subharmonic Functions
8. Oscillation of Functions
9. Ap Weights
10. More About Rn
11. Calderon-Zygmund Singular Integral Operators
12. The Littlewood-Paley Theory
13. The Good Lambda Principle
14. Hardy Spaces of Several Real Variables
15. Carleson Measures
16. Cauchy Integrals on Lipschitz Curves
17. Boundary Value Problems on C1-Domains
Bibliography
Index