The great response to the publication of my book Classical and Modern Fourier Analysis in
2004 has been especially gratifying to me. I was delighted when Springer offered to publish …

This book introduces some important progress in the theory of Calderon-Zygmund singular
integrals, oscillatory singular integrals, and Littlewood-Paley theory over the last decade. It …

We study general spectral multiplier theorems for self-adjoint positive definite operators on
L2 (X, μ), where X is any open subset of a space of homogeneous type. We show that the …

where 2 Lq. Sd1/has vanishing average and 1< q Ä 1, and to Bochner–Riesz means at the
critical index in d are dominated by sparse forms involving. 1; p/averages. This domination is …

" 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 …

The restriction conjecture asserts that R (p, 0) holds for all 1< p< 2n/(n+ 1). Localized
restriction theorems such as the L2-estimate R (2, 1/2) have been used before (see [1],[2]) as …

We prove weighted norm inequalities for homogeneous singular integrals when only a size
condition is assumed on the restriction of the kernel to the unit sphere. The same results …

STRONG VARIATIONAL AND JUMP INEQUALITIES IN HARMONIC ANALYSIS 1. Introduction
Variational and jump inequalities in probability, Page 1 TRANSACTIONS OF THE AMERICAN …

Singular Integral Operators with Rough Convolution Kernels Page 1 JOURNAL OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 9, Number 1, January 1996 SINGULAR …

In this work we present several general theorems which imply the boundedness on
weighted Lorentz spaces Lp (| x| αdx) for sublinear operators T, which are known to be …