國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Analysis in Banach Spaces / by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
Reminder of title:	Volume I: Martingales and Littlewood-Paley Theory /
Author:	Hytönen, Tuomas.
other author:	van Neerven, Jan.
Description:	XVII, 614 p. 3 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Fourier Analysis. -
Online resource:	https://doi.org/10.1007/978-3-319-48520-1
ISBN:	9783319485201

Analysis in Banach Spaces = Volume I: Martingales and Littlewood-Paley Theory /
Hytönen, Tuomas.

Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory /[electronic resource] :by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis. - 1st ed. 2016. - XVII, 614 p. 3 illus.online resource. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,630071-1136 ;. - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,63.

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.

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: 9783319485201

Standard No.: 10.1007/978-3-319-48520-1doiSubjects--Topical Terms:

672627
Fourier Analysis.

LC Class. No.: QA403.5-404.5

Dewey Class. No.: 515.2433

Analysis in Banach Spaces = Volume I: Martingales and Littlewood-Paley Theory /
LDR:02846nam a22004095i 4500 001 972795
003 DE-He213
005 20200704092935.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319485201 $9 978-3-319-48520-1
024 7 $a 10.1007/978-3-319-48520-1 $2 doi
035 $a 978-3-319-48520-1
050 4 $a QA403.5-404.5
072 7 $a PBKF $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.2433 $2 23
100 1 $a Hytönen, Tuomas. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267904
245 1 0 $a Analysis in Banach Spaces $h [electronic resource] : $b Volume I: Martingales and Littlewood-Paley Theory / $c by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XVII, 614 p. 3 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, $x 0071-1136 ; $v 63
505 0 $a 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.
520 $a 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.
650 1 4 $a Fourier Analysis. $3 672627
650 0 $a Fourier analysis. $3 639284
650 0 $a Measure theory. $3 527848
650 0 $a Partial differential equations. $3 1102982
650 0 $a Probabilities. $3 527847
650 0 $a Functional analysis. $3 527706
650 2 4 $a Measure and Integration. $3 672015
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Functional Analysis. $3 672166
700 1 $a van Neerven, Jan. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267905
700 1 $a Veraar, Mark. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267906
700 1 $a Weis, Lutz. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267907
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319485195
776 0 8 $i Printed edition: $z 9783319485218
776 0 8 $i Printed edition: $z 9783319839615
830 0 $a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, $x 0071-1136 ; $v 63 $3 1267908
856 4 0 $u https://doi.org/10.1007/978-3-319-48520-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)