Analysis in Banach spaces. Volume III, Harmonic analysis and spectral theory / Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
Hytönen, Tuomas, author.; Neerven, Jan van, 1964- author.; Veraar, Mark, author.; Weis, Lutz, author.
2023
QA322.2
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Title
Analysis in Banach spaces. Volume III, Harmonic analysis and spectral theory / Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis.
Author
Hytönen, Tuomas, author.
ISBN
9783031465987 (electronic bk.)
3031465989 (electronic bk.)
9783031465970
3031465970
DOI
https://doi.org/10.1007/978-3-031-46598-7
Published
Cham : Springer, 2023.
Language
English
Description
1 online resource (xxi, 826 pages).
Item Number
10.1007/978-3-031-46598-7 doi
Call Number
QA322.2
Dewey Decimal Classification
515.732
Summary
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.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed December 13, 2023).
Added Author
Neerven, Jan van, 1964- author.
Veraar, Mark, author.
Weis, Lutz, author.
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete ; v. 76. 2197-5655
Available in Other Form
Print version: 9783031465970
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11 Singular integral operators
12 Dyadic operators and the T (1) theorem
13 The Fourier transform and multipliers
14 Function spaces
15 Bounded imaginary powers
16 The H∞-functional calculus revisited
17 Maximal regularity
18 Nonlinear parabolic evolution equations in critical spaces
Appendix Q: Questions
Appendix K: Semigroup theory revisited
Appendix L: The trace method for real interpolation theory.

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