Real-Variable Methods in Harmonic Analysis

Alberto Torchinsky

ISBN 10: 0486435083 / ISBN 13: 9780486435084

Editore: Dover Publications Apr 2004, 2004

Riguardo questo articolo

Neuware - 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. Codice articolo 9780486435084

Dati bibliografici

Titolo: Real-Variable Methods in Harmonic Analysis

Casa editrice: Dover Publications Apr 2004

Data di pubblicazione: 2004

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

"A very good choice." — MathSciNet, American Mathematical Society
An exploration of the unity of several areas in harmonic analysis, this self-contained text emphasizes real-variable methods. Appropriate for advanced undergraduate and graduate students, it starts with classical Fourier series and discusses summability, norm convergence, and conjugate function. An examination of the Hardy-Littlewood maximal function and the Calderón-Zygmund decomposition is followed by explorations of the Hilbert transform and properties of harmonic functions. Additional topics include the Littlewood-Paley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.

Contenuti:

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