Overview
- Includes applications of symmetric spaces to Ergodic theory
- Contains a detailed study of Lorentz, Marcinkiewicz and Orlicz spaces
- Provides results with applications in functional analysis?
- Includes supplementary material: sn.pub/extras
Part of the book series: Developments in Mathematics (DEVM, volume 45)
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Table of contents (17 chapters)
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Front Matter
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Symmetric Spaces: The Spaces Lp,L1 ∩ L∞, L1 + L∞
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Front Matter
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Symmetric Spaces: The Embedding Theorem. Properties (A), (B), (C)
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Front Matter
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Lorentz and Marcinkiewicz Spaces
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Front Matter
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Orlicz Spaces
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Front Matter
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Keywords
About this book
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and mathematical physics noteworthy and useful.
This book is intended for graduate students and researchers in mathematics and may be used as a general reference for the theory of functions, measure theory, and functional analysis. This self-contained text is presented in four parts totaling seventeen chapters to correspond with a one-semester lecture course. Each of the four parts begins with an overview and is subsequently divided into chapters, each of which concludes with exercises and notes. A chapter called “Complements” is included at the end of the text as supplementary materialto assist students with independent work.Reviews
Authors and Affiliations
About the authors
Genady Ya. Grabarnik is an Associate Professor in the Mathematics and Computer Science Department at St. John's University. His research interest is in functional analysis.
Mustafa A. Muratov is a Professor in the Mathematics and Computer Science Department at Taurida National University. His research interest is in functional analysis.
Yulia S. Pashkova is a Professor in the Mathematics and Computer Science Department at Taurida National University. Her research interest is in dynamical systems and ergodic theory.
Bibliographic Information
Book Title: Foundations of Symmetric Spaces of Measurable Functions
Book Subtitle: Lorentz, Marcinkiewicz and Orlicz Spaces
Authors: Ben-Zion A. Rubshtein, Genady Ya. Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-319-42758-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-42756-0Published: 20 December 2016
Softcover ISBN: 978-3-319-82656-1Published: 04 July 2018
eBook ISBN: 978-3-319-42758-4Published: 09 December 2016
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XVII, 259
Number of Illustrations: 90 b/w illustrations
Topics: Functional Analysis, Measure and Integration, Several Complex Variables and Analytic Spaces, Manifolds and Cell Complexes (incl. Diff.Topology)