Martingale Spaces and Inequalities

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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 self-contained, 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.Das Buch gibt eine systematische Einfuhrung in die Martingaltheorie und ihre Beziehungen zur Analysis. Der groesste Teil des Buches beschreibt die Entwicklungen der letzten 20 Jahre.