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 remodel, Littlewood-Paley thought and the vector-valued Mihlin multiplier theorem.
Over the earlier fifteen years, prompted via regularity difficulties in evolution equations, there was great growth within the research of Banach space-valued features and processes.
The contents of this broad and strong toolbox were in most cases scattered round in study papers and lecture notes. Collecting this varied physique of fabric right into a unified and obtainable presentation fills a niche within the latest literature. The critical viewers that we have 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 obtainable to graduate scholars and researchers with a history in practical research or similar areas.
Read 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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Additional 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)