A self-contained treatment appropriate for advanced undergraduate and graduate students,
this volume offers a detailed development of the necessary background for its survey of the …

Analysis in spaces with no a priori smooth structure has progressed to include concepts from
the first order calculus. In particular, there have been important advances in understanding …

In recent years, there has been a great deal of activity in the study of boundary value
problems with minimal smoothness assumptions on the coefficients or on the boundary of …

We examine the dependence on the ${A_p} $ norm of $ w $ of the operator norms of
singular integrals, maximal functions, and other operators in ${L^ p}(w) $. We also examine …

The first two chapters contain introductory courses. Chapter 1 presents the theory of Sobolev-
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …

We give necessary and sufficient conditions for two-weight norm inequalities for Haar
multiplier operators and for square functions. The conditions are of the type used by Eric …

The Sharp Bound for the Hilbert Transform on Weighted Lebesgue Spaces in Terms of the
Classical <tex-math>$ Page 1 THE SHARP BOUND FOR THE HILBERT TRANSFORM ON …

We establish borderline regularity for solutions of the Beltrami equation f\sbz-μfz=0 on the
plane, where μ is a bounded measurable function, ∥μ∥\sb∞=k<1. What is the minimal …

We dominate nonintegral singular operators by adapted sparse operators and derive
optimal norm estimates in weighted spaces. Our assumptions on the operators are minimal …

In this paper we study the Neumann and regularity problems for divergence form symmetric
elliptic operators L= div AV, where A=(aifiX)) is a matrix of bounded measurable functions …