The Resource Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)

Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)

Label
Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory
Title
Analysis in Banach Spaces
Title remainder
Volume I: Martingales and Littlewood-Paley Theory
Statement of responsibility
by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Hytönen, Tuomas
Image bit depth
0
LC call number
QA403.5-404.5
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • van Neerven, Jan.
  • Veraar, Mark.
  • Weis, Lutz.
  • SpringerLink
Series statement
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
Series volume
63
http://library.link/vocab/subjectName
  • Mathematics
  • Fourier analysis
  • Functional analysis
  • Measure theory
  • Partial differential equations
  • Probabilities
  • Mathematics
  • Fourier Analysis
  • Measure and Integration
  • Partial Differential Equations
  • Probability Theory and Stochastic Processes
  • Functional Analysis
Label
Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XVII, 614 p. 3 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319485201
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-48520-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-48520-1
Label
Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XVII, 614 p. 3 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319485201
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-48520-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-48520-1

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