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Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
Hytönen, Tuomas, Van Neerven, Jan, Veraar, Mark, Weis, Lutz
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Description for Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
Hardcover. Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics. Num Pages: 614 pages, 3 black & white illustrations, biography. BIC Classification: PBKF; PBKJ; PBKL; PBT. Category: (P) Professional & Vocational. Dimension: 164 x 242 x 2. Weight in Grams: 1090.
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 ... Read more
Show LessProduct Details
Format
Hardback
Publication date
2016
Publisher
Springer
Condition
New
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematic
Number of Pages
614
Place of Publication
Cham, Switzerland
ISBN
9783319485195
SKU
V9783319485195
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Hytönen, Tuomas, Van Neerven, Jan, Veraar, Mark, Weis, Lutz
Tuomas Hytönen is Professor at the University of Helsinki. A leading expert in Harmonic Analysis with over 60 research papers, he was educated at Helsinki University of Technology and spent a postdoc year at Delft University of Technology. He received a European Research Council Starting Grant in 2011 and gave an invited address to the International Congress of Mathematicians in ... Read more
Reviews for Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
“The book can be used not only as a reference book but also as a basis for advanced courses in vector-valued analysis and geometry of Banach spaces. This monograph can be studied for different motivations, it clearly goes straight to the core and introduces only those concepts that will be needed later on, but makes detailed proofs, so it can ... Read more