Publisher's Synopsis
"This book, focused on singular integrals, provides basic techniques in real analysis: Hardy-Littlewood maximal operator, Calderon-Zygmund theory, Riesz transforms, Littlewood-Paley theory, Fourier multipliers, spaces H1 and BMO, interpolation of operators (real and complex methods). The subject is rather classical, but we aim at giving a treatment as simple as possible. Despite its concision, this book provides full proofs of all results, not only sketches. At the end of each chapter, a few exercises are proposed with sufficient hints so that a careful reader can solve them. They present materials that would have interrupted the exposition, which nevertheless are important. The prerequisites are: measure and integration theory, a certain familiarity with the Fourier transform in Euclidean spaces"--.
