Analysis in Banach Spaces

Volume I: Martingales and Littlewood-Paley Theory

Tuomas Hytönen,

Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory
 
 

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.



  • ;
  • ISBN:
  • Edition:
  • Title:
  • Series:
  • Author:
  • Imprint:
  • Language:

In The Press


About The Author


Customer Reviews

Verified Buyer

Read online

If you’re using a PC or Mac you can read this ebook online in a web browser, without downloading anything or installing software.

Download file formats

This ebook is available in file types:

This ebook is available in:

After you've bought this ebook, you can choose to download either the PDF version or the ePub, or both.

DRM Free

The publisher has supplied this book in DRM Free form with digital watermarking.

Required software

You can read this eBook on any device that supports DRM-free EPUB or DRM-free PDF format.

Digital Rights Management (DRM)

The publisher has supplied this book in encrypted form, which means that you need to install free software in order to unlock and read it.

Required software

To read this ebook on a mobile device (phone or tablet) you'll need to install one of these free apps:

To download and read this eBook on a PC or Mac:

  • Adobe Digital Editions (This is a free app specially developed for eBooks. It's not the same as Adobe Reader, which you probably already have on your computer.)

Limits on printing and copying

The publisher has set limits on how much of this ebook you may print or copy. See details.

  • {{ format_drm_information.format_name }} unrestricted {{ format_drm_information.format_name }} {{format_drm_information.page_percent}}% pages every day{{format_drm_information.interval}} days {{ format_drm_information.format_name }} off
Read Aloud
  • {{ read_aloud_information.format_name }} on {{ read_aloud_information.format_name }} off
Subject categories
  •  > 
ISBNs