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 …

A martingale transform T, applied to an integrable locally supported function f, is pointwise
dominated by a positive sparse operator applied to| f|, the choice of sparse operator being a …

This book studies some of the striking advances that have occurred regarding analytic
capacity and its relationship with rectifiability in the decade 1995-2005. The Cauchy …

The most important results of standard Calderón-Zygmund Theory have recently been
extended to very general non-homogeneous contexts. In this survey paper we describe …

Let μ be a Radon measure on R d which may be non-doubling. The only condition that μ
must satisfy is μ (B (x, r))⩽ Crn, for all x∈ R d, r> 0, and for some fixed 0< n⩽ d. In this paper …

The present book is devoted to the properties of functions that can be described in terms of
mean integral oscillations. The starting point of this study was the work of F. John and L …

Let $\mu $ be a Radon measure on $\mathbb {R}^ d $, which may be nondoubling. The only
condition that $\mu $ must satisfy is the size condition $\mu (B (x, r))\leq C r^ n $, for some …

Let μ be a non-negative Borel measure on ℝd. Fix a real number n, 0< n≤ d, and assume
that μ is" n-dimensional" in the following sense: the measure of a cube is smaller than the …

AN ELEMENTARY APPROACH TO SEVERAL RESULTS ON THE HARDY-LITTLEWOOD
MAXIMAL OPERATOR 1. Introduction Let w be a weight, ie, wl Page 1 PROCEEDINGS OF THE …

In many problems from analysis, the Hardy space, H1. RD/, always appears as a suitable
substitution for L1. RD/. Thanks to the seminal papers of Charles Fefferman and Elias M …