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 prior fifteen years, prompted via regularity difficulties in evolution equations, there was large growth within the research of Banach space-valued features and processes.
The contents of this large and strong toolbox were quite 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 latest literature. The valuable viewers that we have got in brain comprises 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 delivering entire proofs, this paintings is offered to graduate scholars and researchers with a history in practical research or similar areas.
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Additional 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