Martingale Theory in Harmonic Analysis and Banach Spaces PDF Download
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Author: J.-A. Chao
Publisher: Springer
ISBN: 354039284X
Category : Mathematics
Languages : en
Pages : 238
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Book Description
Author: J.-A. Chao
Publisher: Springer
ISBN: 354039284X
Category : Mathematics
Languages : en
Pages : 238
Get Book
Book Description
Author: J. A. Chao
Publisher:
ISBN: 9783662207741
Category :
Languages : en
Pages : 240
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Book Description
Author: J. A. Chao
Publisher:
ISBN: 9780387115696
Category : Banach spaces
Languages : en
Pages : 225
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Book Description
Author: Tuomas Hytönen
Publisher: Springer
ISBN: 3319485202
Category : Mathematics
Languages : en
Pages : 614
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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.
Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1107137241
Category : Mathematics
Languages : en
Pages : 591
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Book Description
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Author: Ferenc Weisz
Publisher: Springer
ISBN: 3540482954
Category : Mathematics
Languages : en
Pages : 228
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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.
Author: Tuomas Hytönen
Publisher: Springer Nature
ISBN: 3031465989
Category : Mathematics
Languages : en
Pages : 839
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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.
Author: Tuomas Hytönen
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 0
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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's description for v. 1.
Author: Wojbor A. Woyczynski
Publisher: CRC Press
ISBN: 0429868820
Category : Mathematics
Languages : en
Pages : 316
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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.
Author: Tuomas Hytönen
Publisher:
ISBN: 9783319698090
Category : Banach spaces
Languages : en
Pages : 614
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Book Description
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
