## Beijing Lectures in Harmonic AnalysisBased on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger. |

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analytic argument assume balls Bergman Bergman metric biholomorphic boundedness Calderon-Zygmund Carleson measure Cauchy classical Coifman compact complex consider constant convex coordinates covering lemma cube curvature curve defined denote dilations Dirichlet problem domain of holomorphy E. M. Stein estimate Euclidean example exists fact Fefferman fixed follows Fourier transform function f given harmonic analysis harmonic function harmonic measure Heisenberg group Hence Hilbert transform holomorphic function homogeneous HP spaces inequality integral formulas Kenig kernel Laplace's equation layer potentials linear Lipschitz domains Math maximal functions maximal operator metric N(Vu neighborhood Neumann problem non-tangential nonisotropic norm obtain oscillatory integrals Poisson integral polynomial Princeton proof Proposition prove pseudoconvex domains rectangle satisfies side lengths singular integrals smooth smoothly bounded strongly pseudoconvex domains Suppose theorem theory tion vector fields Verchota Zygmund

### References to this book

Analysis at Urbana: Volume 1, Analysis in Function Spaces E. Berkson,J. Uhl No preview available - 1989 |