Real-variable methods in harmonic analysis by Alberto Torchinsky, Paperback | Indigo Chapters

A very good choice. - MathSciNet, American Mathematical SocietyAn 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 Calder n-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. | Real-variable methods in harmonic analysis by Alberto Torchinsky, Paperback | Indigo Chapters