TY  - BOOK
AU  - Torchinsky,Alberto
TI  - Real-variable methods in harmonic analysis
T2  - Pure and applied mathematics
SN  - 9780486435084
U1  - 515..2433 
PY  - 1986///
CY  - Orlando
PB  - Academic Press
KW  - Harmonic analysis
KW  - Mathematics
N1  - Includes index
N2  - "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
ER  -