Preface Chapter 1 Real Variable Theory of HPSpaces 1 Definition of HP spaces 2 Non-tangential maximal functions 3 Grand maximal functions Chapter 2 Decomposition Structure Theory of HP Spaces 1 Atom 2 Dual space of HI 3 Atom decomposition 4 Dual space of HP 5 Interpolation of operators 6 Interpolations of HP spaces; weak Hp spaces 7 Molecule; molecule decomposition 8 Applications to the boundedness of operators Chapter 3 Applications to Fourier Analysis 1 Fourier transform 2 The Fourier multiplier 3 The Riesz potential operators 4 Singular integral operators 5 The Bochner-Riesz means 6 Transference theorems of Hp multipliers Chpater 4 Applications to Approximation Theory 1 K functional 2 Hp multiplier and Jackson-type inequality 3 Hp multiplier and Bernstein type inequality 4 Approximation by Bochner-Riesz means at critical index References
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