Author: J.-A. Chao
Publisher: Springer
ISBN: 354039284X
Category : Mathematics
Languages : en
Pages : 238
Book Description
Martingale Theory in Harmonic Analysis and Banach Spaces
Author: J.-A. Chao
Publisher: Springer
ISBN: 354039284X
Category : Mathematics
Languages : en
Pages : 238
Book Description
Publisher: Springer
ISBN: 354039284X
Category : Mathematics
Languages : en
Pages : 238
Book Description
Martingale Theory in Harmonic Analysis and Banach Spaces
Author: J. A. Chao
Publisher:
ISBN: 9783662207741
Category :
Languages : en
Pages : 240
Book Description
Publisher:
ISBN: 9783662207741
Category :
Languages : en
Pages : 240
Book Description
Analysis in Banach Spaces
Author: Tuomas Hytönen
Publisher: Springer
ISBN: 3319485202
Category : Mathematics
Languages : en
Pages : 628
Book Description
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.
Publisher: Springer
ISBN: 3319485202
Category : Mathematics
Languages : en
Pages : 628
Book Description
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.
Martingale Theory in Harmonic Analysis and Banach Spaces
Author:
Publisher:
ISBN: 9780387115696
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780387115696
Category :
Languages : en
Pages : 0
Book Description
Intégrales exponentielles
Author: Edmond Combet
Publisher:
ISBN: 9780387115658
Category : Asymptotic expansions
Languages : en
Pages : 177
Book Description
Publisher:
ISBN: 9780387115658
Category : Asymptotic expansions
Languages : en
Pages : 177
Book Description
Martingales in Banach Spaces
Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1107137241
Category : Mathematics
Languages : en
Pages : 591
Book Description
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Publisher: Cambridge University Press
ISBN: 1107137241
Category : Mathematics
Languages : en
Pages : 591
Book Description
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Martingale Hardy Spaces and their Applications in Fourier Analysis
Author: Ferenc Weisz
Publisher: Springer
ISBN: 3540482954
Category : Mathematics
Languages : en
Pages : 228
Book Description
This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be applied for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. A new proof of Carleson's convergence result using martingale methods for Fourier series is given with martingale methods. The book is accessible to readers familiar with the fundamentals of probability theory and analysis. It is intended for researchers and graduate students interested in martingale theory, Fourier analysis and in the relation between them.
Publisher: Springer
ISBN: 3540482954
Category : Mathematics
Languages : en
Pages : 228
Book Description
This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be applied for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. A new proof of Carleson's convergence result using martingale methods for Fourier series is given with martingale methods. The book is accessible to readers familiar with the fundamentals of probability theory and analysis. It is intended for researchers and graduate students interested in martingale theory, Fourier analysis and in the relation between them.
Banach Spaces, Harmonic Analysis, and Probability Theory
Author: R. C. Blei
Publisher: Springer
ISBN: 3540400362
Category : Mathematics
Languages : en
Pages : 183
Book Description
Publisher: Springer
ISBN: 3540400362
Category : Mathematics
Languages : en
Pages : 183
Book Description
Analysis in Banach Spaces
Author: Tuomas Hytönen
Publisher: Springer Nature
ISBN: 3031465989
Category : Mathematics
Languages : en
Pages : 839
Book Description
This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Publisher: Springer Nature
ISBN: 3031465989
Category : Mathematics
Languages : en
Pages : 839
Book Description
This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Geometry and Martingales in Banach Spaces
Author: Wojbor A. Woyczynski
Publisher: CRC Press
ISBN: 0429868820
Category : Mathematics
Languages : en
Pages : 299
Book Description
Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic behavior of martingales with values in Banach spaces.
Publisher: CRC Press
ISBN: 0429868820
Category : Mathematics
Languages : en
Pages : 299
Book Description
Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic behavior of martingales with values in Banach spaces.