000 01273cam a2200193 a 4500
001 3349978
010 _a 86001096
020 _a9780486435084
082 0 0 _a515..2433
_bTOR/R
100 1 _aTorchinsky, Alberto.
245 1 0 _aReal-variable methods in harmonic analysis /
260 _aOrlando :
_bAcademic Press,
_c1986.
300 _axii, 462 p. :
_bill. ;
490 1 _aPure and applied mathematics ;
500 _aIncludes index.
520 _a"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.
650 0 _aHarmonic analysis.
_aMathematics
942 _cBK
999 _c66598
_d66598