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

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 thought and the vector-valued Mihlin multiplier theorem.

Over the previous fifteen years, influenced via regularity difficulties in evolution equations, there was large growth within the research of Banach space-valued services and processes. 

The contents of this large and robust toolbox were often scattered round in study papers and lecture notes. Collecting this diversified physique of fabric right into a unified and available presentation fills a spot within the latest literature. The valuable viewers that we've got in brain includes 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 providing entire proofs, this paintings is offered to graduate scholars and researchers with a historical past in useful research or comparable areas.

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Read Online or Download 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) PDF

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