ICM-90 Satellite Conference Proceedings: Harmonic Analysis Proceedings of a Conference Held in Sendai, Japan August 14-18, 1990

ISBN-13: 9784431700845 / Angielski / Miękka / 1991 / 214 str.

Satoru Igari

Opis

Contents: G. Alexopoulos Parabolic Harnack inequalities and Riesz transforms on Lie groups of polynomial growth.- H. Arai: Harmonic analysis with respect to degenerate Laplacian on strictly pseudoconvex domains.- J.M. Ash, R. Brown: Uniqueness and nonuniqueness for harmonic functions with zero nontangential limits.- A. Carbery, E. Hernandez, F.Soria: Estimates for the Kakeya maximal operator on radial functions in Rn.- S.-Y.A. Chang, P.C. Yang Spectral invariants of conformal metrics.- M. Christ: Remarks on the breakdown of analycity for b and Szego kernels.- R. Coifman, S. Semmes L2 estimates in nonlinear Fourier analysis.- Dinh Dung On optimal recovery of multivariate periodic functions.- S.A.A. Emara: A class of weighted inequalities.- G.I. Gaudry Some singular integrals on the affine group.- J.-P. Kahane: From Riesz products to random sets.- T. Kawazoe A model of reduction in harmonic analysis on real rank 1 semisimple Lie groups I.- P.G. Lemarie: Wavelets, spline interpolation and Lie groups.- P. Mattila: Principle values of Cauchy integrals, rectifiable measures and sets.- A. Miyachi Extension theorems for real variable Hardy and Hardy-Sobolev spaces.- T. Mizuhara Boundedness of some classical operators on generalized Morrey spaces.- G. Sinnamon: Interpolation of spaces defined by the level function.- T.N. Varopoulos: Groups of superpolynomial growth.- J.M. Wilson Littlewood-Paley theory in one and two parameters.- J.M. Wilson Two-weight norm inequalities for the Fourier transform.- Program.- List of participants."

Spis treści

Paraboloc Harnack inequalities and Riesz transforms on Lie groups of polynomial growth.- Harmonic analysis with respect to degenerate Laplacian on strictly pseudoconvex domains.- Uniqueness and nonuniqueness for harmonic functions with zero nontangential limits.- Estimates for the Kakeya maximal operator on radial functions in Rn.- Spectral invariants of conformal metrics.- Remarks on the breakdown of analycity for ?band Szegö kernels.- L2estimates in nonlinear Fourier analysis.- On optimal recovery of multivariate periodic functions.- A class of weighted inequalities.- Some singular integrals on the affine group.- From Riesz products to random sets.- A model of reduction in harmonic analysis on real rank 1 semisimple Lie groups I.- Wavelets, spline interpolation and Lie groups.- Principle values of Cauchy integrals, rectifiable measures and sets.- Extension theorems for real variable Hardy and Hardy-Sobolev spaces.- Boundedness of some classical operators on generalized Morrey spaces.- Interpolation of spaces defined by the level function.- Groups of superpolynomial grouth.- Littlewood-Paley theory in one and two parameters.- Two-weight norm inequalities for the Fourier transform.- Program.- List of participants.