傅里叶分析。英文版

3.6 multipliers ,transference,and almost everywhere convergence
3.7 lacunary series
chapter 4 singular integrals of convolution type
4.1 the hibert transform and the riesz transforms
4.2 homogeneous singular integrals and the method of rotations
4.3 the calderon-zygmund decomposition and singular integrals
4.4 sufficient conditions for lp boundedness
4.5 vector-valued inequalities
4.6 vector-valued singular integrals
chapter 5 little wood-paley theory and multipliers
5.1 little wood-paley theory
5.2 two multiplier therrems
5.3 applications of little wood-paley theory
5.4 the haar system,conditional expectation,and martingales
5.5 the spherical maximal function
5.6 wavelets
chapter 6 smoothness and function spaces
6.1 riesz potentials ,bessel potentials ,and fractional integrals
6.2 sobolev spaces
6.3 lipschitz spaces
6.4 hardy spaces
6.5 besov-lipschitz and triebel-lizorkin spaces
6.6 atomic decomposition
6.7 singular integrals on function spaces
chapter 7 bmo and carleson measures
7.1 functions of bounded mean oscillation
7.2 duality between h1 and carleson measures
7.3 nontangential maximal functions and carleson measures
……
chapter 8 singular integrals of nonconvolution type
chapter 9 weighted intequalities
chapter 10 boundedness and convergence of fourier integrals
appendix a gamma and beta functions
appendix b bessel functions
appendix c rademacher functions
appendix d spherical coordinates
appendix e some trigonometric identities and inequalities
appendix f summation by parts
appendix g basic functional analysis
appendix h the minimax lemma
appendix i the schur lemma
appendix j the whitney decomposition of open sets in rn
appendix k smoothness and vanishing moments
bibliography
index of notation
index
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