@article{771102, note = {4.3.a Reflexivity.}, author = {Hytönen, Tuomas. and Van Neerven, Jan. and Veraar, Mark. and Weis, Lutz.}, url = {http://library.usi.edu/record/771102}, title = {Analysis in Banach Spaces., Volume I,: Martingales and Littlewood-Paley theory.}, publisher = {Springer,}, abstract = {The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.}, doi = {https://doi.org/10.1007/978-3-319-48520-1}, recid = {771102}, pages = {1 online resource (628 pages).}, address = {Cham :}, year = {2016}, }