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Analysis in Banach Spaces
Volume I: Martingales and Littlewood-Paley Theory
Langbeschreibung
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.
Inhaltsverzeichnis
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.
Lutz Weis, a Professor at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 80 research papers and a monograph. Since receiving his PhD from University of Bonn, he was a professor at Louisiana State University and visiting professor at TU Berlin as well as Universities of Kiel, South Carolina and Minnesota. He organized a Marie Curie training site and is currently a member of a DFG Graduiertenkolleg.
ISBN-13:
9783319485201
Veröffentl:
2016
Seiten:
614
Autor:
Tuomas Hytönen
Serie:
63, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
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