Analysis in Banach Spaces: Volume I: Martingales and by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis

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

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

Over the previous fifteen years, encouraged by means of regularity difficulties in evolution equations, there was super development within the research of Banach space-valued services and processes. 

The contents of this broad and strong toolbox were often scattered round in examine papers and lecture notes. Collecting this various physique of fabric right into a unified and obtainable presentation fills a spot within the present literature. The critical viewers that we have got in brain involves researchers who desire and use research in Banach areas as a device for learning difficulties in partial differential equations, harmonic research, and stochastic research. Self-contained and providing entire proofs, this paintings is out there to graduate scholars and researchers with a history in sensible research or similar areas.

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