## Harmonic analysis in ChinaHarmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates. The book covers topics in analytic function spaces of several complex variables, integral transforms, harmonic analysis on classical Lie groups and manifolds, LP- estimates of the Cauchy-Riemann equations and wavelet transforms. The reader will also be able to trace the great influence of the late Professor Loo-keng Hua's ideas and methods on research into harmonic analysis on classical domains and the theory of functions of several complex variables. Western scientists will thus become acquainted with the unique features and future trends of harmonic analysis in China. Audience: Analysts, as well as engineers and physicists who use harmonic analysis. |

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### Contents

Recent progress in Hardy spaces on manifolds | 22 |

CalderonZygmund operator theory and function spaces | 55 |

Hp theory on compact Lie groups | 80 |

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### Other editions - View all

Harmonic Analysis in China Minde Cheng,Dong-gao Deng,Sheng Gong,Chung-Chun Yang Limited preview - 2012 |

Harmonic Analysis in China Minde Cheng,Dong-gao Deng,Sheng Gong,Chung-Chun Yang No preview available - 2012 |

### Common terms and phrases

Acta Math algebra Amer Analysis in China atom Banach space Bergman kernel Bergman space Besov and Triebel-Lizorkin Besov spaces Bloch space bounded on Lp(w bounded symmetric domains boundedness box-spline Calderon type reproducing Calderon-Zygmund operator classical groups compact Lie groups complex condition converges covering group decomposition defined definition denote Department of Mathematics derivatives differential operators discrete series E.M. Stein equation estimates finite type Fourier Hankel operators Hardy spaces Harmonic Analysis Hermitian holomorphic functions homogeneous type HP(G iffb inequality irreducible unitary Lemma linear Lipschitz martingale maximal function Mobius invariant norm orthogonal paracommutator Peng polynomial positive integer problem proof of Theorem properties Proposition prove pseudo-convex Radon transform representations of G result satisfies singular integral operator Sinica spaces of homogeneous subgroup supp Suppose theory Toeplitz Triebel-Lizorkin spaces type reproducing formula unitary dual unitary representation Univ vector wavelet