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 conception and the vector-valued Mihlin multiplier theorem.
Over the previous fifteen years, encouraged by means of regularity difficulties in evolution equations, there was super development within the research of Banach space-valued services and processes.
The contents of this broad and strong toolbox were often scattered round in examine papers and lecture notes. Collecting this various physique of fabric right into a unified and obtainable presentation fills a spot within the present literature. The critical viewers that we have got in brain involves 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 providing entire proofs, this paintings is out there to graduate scholars and researchers with a history in sensible 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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