<電子ブック>
Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 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-value...d 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.続きを見る
目次 1.Bochner Spaces
2.Operators on Bochner Spaces
3.Martingales
4.UMD spaces
5. Hilbert transform and Littlewood-Paley Theory
6.Open Problems
A.Mesaure Theory
B.Banach Spaces
C.Interpolation Theory
D.Schatten classes.
冊子版へのリンク
本文を見る Full text available from Springer Mathematics and Statistics eBooks 2016 English/International

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28

この資料を見た人はこんな資料も見ています