New PDF release: Analysis in Banach Spaces: Volume I: Martingales and

By Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis

ISBN-10: 3319485199

ISBN-13: 9783319485195

The current quantity develops the idea of integration in Banach areas, martingales and UMD areas, and culminates in a remedy of the Hilbert rework, Littlewood-Paley idea and the vector-valued Mihlin multiplier theorem.

Over the prior fifteen years, stimulated by way of regularity difficulties in evolution equations, there was large development within the research of Banach space-valued features and processes. 

The contents of this wide and robust toolbox were often scattered round in study papers and lecture notes. Collecting this diversified physique of fabric right into a unified and obtainable presentation fills a niche within the current literature. The significant viewers that we've got in brain involves researchers who want and use research in Banach areas as a device for learning difficulties in partial differential equations, harmonic research, and stochastic research. Self-contained and supplying whole proofs, this paintings is available to graduate scholars and researchers with a heritage in sensible research or comparable areas.

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Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory: 1 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis


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