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 idea and the vector-valued Mihlin multiplier theorem.

Over the earlier fifteen years, stimulated through regularity difficulties in evolution equations, there was great growth within the research of Banach space-valued capabilities and processes. 

The contents of this vast and robust toolbox were typically scattered round in learn papers and lecture notes. Collecting this different physique of fabric right into a unified and available presentation fills a niche within the current literature. The relevant viewers that we've got in brain includes 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 supplying whole proofs, this paintings is out there to graduate scholars and researchers with a historical past in useful research or similar areas.

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Extra resources for 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)

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