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 thought and the vector-valued Mihlin multiplier theorem.
Over the previous fifteen years, influenced via regularity difficulties in evolution equations, there was large growth within the research of Banach space-valued services and processes.
The contents of this large and robust toolbox were often scattered round in study papers and lecture notes. Collecting this diversified physique of fabric right into a unified and available presentation fills a spot within the latest literature. The valuable viewers that we've got in brain includes 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 providing entire proofs, this paintings is offered to graduate scholars and researchers with a historical past in useful research or comparable 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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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)