Harmonic analysis : proceedings of the special program at the Nankai Institute of Mathematics, Tianjin, PR China, March-July, 1988

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Harmonic analysis : proceedings of the special program at the Nankai Institute of Mathematics, Tianjin, PR China, March-July, 1988

M.-T. Cheng, X.-W. Zhou, D.-G. Deng, eds

（Lecture notes in mathematics, 1494 . Nankai Institute of Mathematics, Tianjin, PR China ; vol. 9）

Springer-Verlag, c1991

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"Nankai Institute of Mathematics, Tianjin, PR China (vol. 9)"--Ser. t.p

Includes bibliographical references

"This is the second volume of the articles submitted by the participants in a program on Harmonic Analysis held by the Nankai Institute of Mathematics from March 1 to June 30, 1988" -- Foreword

Description and Table of Contents

Description

All papers in this volume are original (fully refereed) research reports by participants of the special program on Harmonic Analysis held in the Nankai Institute of Mathematics. The main themes include: Wavelets, Singular Integral Operators, Extemal Functions, H Spaces, Harmonic Analysis on Local Domains and Lie Groups, and so on. See also :G. David "Wavelets and Singular Integrals on Curves and Surfaces", LNM 1465,1991. FROM THE CONTENTS: D.C. Chang: Nankai Lecture in -Neumann Problem.- T.P. Chen, D.Z. Zhang: Oscillary Integral with Polynomial Phase.- D.G. Deng, Y.S. Han: On a Generalized Paraproduct Defined by Non-Convolution.- Y.S. Han: H Boundedness of Calderon-Zygmund Operators for Product Domains.- Z.X. Liu, S.Z. Lu: Applications of H|rmander Multiplier Theorem to Approximation in Real Hardy Spaces.- R.L. Long, F.S. Nie: Weighted Sobolev Inequality and Eigenvalue Estimates of Schr|dinger Operator.- A. McIntosh, Q. Tao: Convolution Singular Integral Operators on Lipschitz Curves.- Z.Y. Wen, L.M.Wu, Y.P. Zhang: Set of Zeros of Harmonic Functions of Two Variables.- C.K. Yuan: On the Structures of Locally Compact Groups Admitting Inner Invariant Means.

Table of Contents

Nankai lecture in -Neumann problem.- Duality of H 1 and BMO on positively curved manifolds and their characterizations.- Oscillatory integral with polynomial phase.- On a generalized paraproduct defined by non-convolution.- H p boundedness of claderon-Zygmund operators for product domains.- A ? condition characterized by maximal geometric mean operator.- A weighted norm inequality for oscillatory singular integrals.- The nilpotent Lie group G d+2 and a class of differential operators with multiple characteristics.- Characterization of BMO p sq - functions by generalized Carleson measure.- Besov spaces of paley-wiener type.- The weak H p spaces on homogeneous groups.- Applications of Hoermander multiplier theorem to approximation in real Hardy spaces.- Weighted norm inequalities for the restriction of fourier transform to S n?1.- Weighted sobolev inequality and eigenvalue estimates of Schroedinger operators.- Convolution singular integral operators on lipschitz curves.- Multipliers from L 1 (G) to a reflexive segal algebra.- Weighted norm inequalities for certain maximal operators with approach regions.- The hausdorff dimension of a class of lacunary trigonomitric series.- Hermitian nilpotent lie groups: Harmonic analysis as spectral theory of Laplacians.- Weak coupling asymptotics of schrodinger operators with stark effect.- Set of zeros of harmonic functions of two variables.- Ergodic theorem for the functions with uniform mean.- On the structures of locally compact groups admitting inner invariant means.- Harmonic boundaries and poisson integrals on symmetric spaces.- On p-adic cantor function.

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