Fourier Analysis and Partial Differential Equations

Abstract

Introduction by the Editors: (J. Garcia-Cuerva, E. Hernandez, F. Soria, and J.-L. Torrea). Memorial Articles: Antoni Zygmund (G. Weiss). Stylianos Pichorides (J.-P. Kahane). Main Lectures: Band Limited Wavelets (A. Bonami, F. Soria, and G. Weiss). A Family of Degenerate Differential Operators (M. Christ). Solvability of Second Order PDOs on Nilpotent Groups - A Survey of Recent Results (D. Muller and F. Ricci). Recent Work on Sharp Estimates in Second Order Elliptic Unique Continuation Problems (T.H. Wolff). Contribution Articles: Weighted Lipschitz Spaces Defined by a Banach Space (O. Blasco). A Note on Monotone Functions (M.J. Carro and J. Soria). Hilbert Transforms in Weighted Distribution Spaces (C. Carton-Lebrun). Failure of an Endpoint Estimate for Integrals along Curves (M. Christ). Spline Wavelet Basis of Weighted Spaces (J. Garcia-Cuerva and K.S. Kazarian). A Note on Hardy's Inequality in Orlicz Spaces (H. Heinig). A Characterization of Commutators of Parabolic Singular Integrals (S. Hofmann). Inequalities for Classical Operators in Orlicz Spaces (M. Krbec). On the Herz Spaces with Power Weights (S. Lu and F. Soria). On the One-Sided Hardy-Littlewood Maximal Function in the Real Line and in Dimensions Greater than One (F.J. Martin-Reyes). Characterization of the Besov Spaces (M. Paluszynski and M. Taibleson). Oscillatory Singular Integrals on Hardy Spaces (Y. Pan). Three Types of Weighted Inequalities for Integral Operators (L. Pick). Boundary Value Problems for Higher Order Operators in Lipschitz and C1 Domains (J. Pipher). Ap and Approach Regions (A. Sanchez-Colomer and J. Soria). Maximal Operators Associated to Hypersurfaces with One Nonvanishing Principal Curvature (C.D. Sogge).