Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (Softcover Repri) (Paperback)
 
作者: Tuomas Hytönen 
分類: Functional analysis & transforms ,
Differential calculus & equations ,
Integral calculus & equations ,
Probability & statistics ,
Stochastics  
書城編號: 15506496


售價: $2240.00

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出版社: Springer Nature
出版日期: 2018/07/07
重量: 0.87 kg
ISBN: 9783319839615

商品簡介


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.

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