Real-Variable Methods in Harmonic Analysis - Brossura

Torchinsky, Alberto

 
9780486435084: Real-Variable Methods in Harmonic Analysis
Brossura
ISBN 10: 0486435083 ISBN 13: 9780486435084
Casa editrice: Dover Pubns, 2004

Sinossi

"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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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

Product Description

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 Calderon-Zygmund decomposition, the Hilbert transform and properties of harmonic functions, the Littlewood-Paley theory, more. 1986 edition.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2004
Lingua
Inglese
ISBN 10 
0486435083
ISBN 13 
9780486435084
Rilegatura
Copertina flessibile
Numero di pagine
480
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780126954609: Real-Variable Methods in Harmonic Analysis

Edizione in evidenza

ISBN 10:  0126954607 ISBN 13:  9780126954609
Casa editrice: Academic Pr, 1986
Rilegato