By Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
The current quantity develops the idea of integration in Banach areas, martingales and UMD areas, and culminates in a remedy of the Hilbert remodel, Littlewood-Paley concept and the vector-valued Mihlin multiplier theorem.
Over the prior fifteen years, encouraged through regularity difficulties in evolution equations, there was large development within the research of Banach space-valued capabilities and processes.
The contents of this broad and robust toolbox were often scattered round in examine papers and lecture notes. Collecting this varied physique of fabric right into a unified and obtainable presentation fills a spot within the current literature. The primary viewers that we've 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 supplying whole proofs, this paintings is offered to graduate scholars and researchers with a history in useful research or similar areas.
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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Extra info 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)