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 earlier fifteen years, stimulated through regularity difficulties in evolution equations, there was great growth within the research of Banach space-valued capabilities and processes.
The contents of this vast and robust toolbox were typically scattered round in learn 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 relevant viewers that we've 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 out there to graduate scholars and researchers with a historical past in useful 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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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)