Torchinsky, Alberto.
Real-variable methods in harmonic analysis / - Orlando : Academic Press, 1986. - xii, 462 p. : ill. ; - Pure and applied mathematics ; .
Includes index.
"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.
9780486435084
86001096
Harmonic analysis.
Mathematics
515..2433 / TOR/R
Real-variable methods in harmonic analysis / - Orlando : Academic Press, 1986. - xii, 462 p. : ill. ; - Pure and applied mathematics ; .
Includes index.
"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.
9780486435084
86001096
Harmonic analysis.
Mathematics
515..2433 / TOR/R