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by Alberto Torchinsky
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ISBN: 0486435083 Dover Publications Price: $26.95 |
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An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function. Examines the Hardy-Littlewood maximal function, the Calderón-Zygmund decomposition, the Hilbert transform and properties of harmonic functions, the Littlewood-Paley theory, more. 1986 edition.
Unabridged republication of the edition published by Academic Press, Orlando, Florida, 1986.
Table of Contents for Real-Variable Methods in Harmonic Analysis
| 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 |