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 therapy of the Hilbert remodel, Littlewood-Paley concept and the vector-valued Mihlin multiplier theorem.
Over the earlier fifteen years, prompted by means of regularity difficulties in evolution equations, there was super growth within the research of Banach space-valued features and processes.
The contents of this vast and strong toolbox were usually scattered round in examine 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 imperative 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 whole proofs, this paintings is on the market to graduate scholars and researchers with a heritage in useful research or comparable 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)
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