Vieweg Monographs 1993; 344 pp; hardcover ISBN10: 3528083972 ISBN13: 9783528083977 List Price: US$64 Member Price: US$57.60 Order Code: VW/4
 This book gives a systematic introduction to the theory of martingale spaces and inequalities. Except those mainly concerned with the martingale \(Hp, p>1\), most parts of the book reflect the developments in the field in the past twenty years. The material is selfcontained, only a familiarity with basic analysis is required. Both graduate students and mathematicians who want to know about the interaction between analysis and probability will find this book to be a valuable reference and text. A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan. Copublished in cooperation with Peking University Press. Readership Table of Contents  Probabilistic preliminaries
 \(H_p(p\ge 1)\) martingales
 \(\Phi\)inequalities on martingales
 \(BMO\) martingales
 Martingale transforms
 Weight theory and weighted \(\Phi\)inequalities
 Regular martingales
 Some applications of martingale techniques in harmonic analysis
 References
 Symbols
 Index
