Harmonic Analysis

ISBN-13: 9783540549017 / Angielski / Miękka / 1991 / 234 str.

Min-Teh Cheng; Xing-Wei Zhou; Dong-Gao Deng

Opis

All papers in this volume are original research reports written by participants in a special programme on harmonic analysis which was held at the Nankai Institute of Mathematics, China. The main themes are wavelets, singular integral operators, H spaces and the harmonic analysis of Lie groups.

Spis treści

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 claderón-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 Hörmander 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 Schrödinger 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.