During the past two decades there has been active interplay between geometric measure
theory and Fourier analysis. This book describes part of that development, concentrating on …

This is a mathematically rigorous introduction to fractals which emphasizes examples and
fundamental ideas. Building up from basic techniques of geometric measure theory and …

Question 1 appears quite elementary, but is known to be connected to a number of basic
open questions in harmonic analysis regarding estimation of oscillatory integrals. This is a …

A Sharp Bilinear Cone Restriction Estimate Page 1 Annals of Mathematics, 153 (2001), 661-698
A sharp bilinear cone restriction estimate By THOMAS WOLFFt The purpose of this paper is …

Symmetrization is a rich area of mathematical analysis whose history reaches back to
antiquity. This book presents many aspects of the theory, including symmetric decreasing …

Hilbert Transforms Along Curves: I. Nilpotent Groups Page 1 Annals of Mathematics, 122 (1985),
575-596 Hilbert transforms along curves I. Nilpotent groups By MICHAEL CHRIST 1 …

" There are many bits and pieces of folklore in mathematics that are passed down from
advisor to student, or from collaborator to collaborator, but which are too fuzzy and non …

In this paper, we consider two types of weak norms, the weak mixed-norm and the iterated
weak norm, in Lebesgue spaces with mixed norms. We study properties of two weak norms …

1. Introduction. The following maximal operator has arisen in work of C. Fefferman [17] and
A. Ctrdoba [10, l] on the Lp boundedness of the Bochner-Riesz spherical summation …

We adapt Guth's polynomial partitioning argument for the Fourier restriction problem to the
context of the Kakeya problem. By writing out the induction argument as a recursive …