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Developments in Mathematics

Foundations of Symmetric Spaces of Measurable Functions

Lorentz, Marcinkiewicz and Orlicz Spaces

Authors: Rubshtein, B.-Z.A., Grabarnik, G.Y., Muratov, M.A., Pashkova, Y.S.

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  • ​​​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​
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eBook $64.99
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  • ISBN 978-3-319-42758-4
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Softcover $84.99
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About this Textbook

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 material to assist students with independent work. 

About the authors

Ben-Zion A. Rubshtein is a Professor in the Department of Mathematics at Ben Gurion University. His research interests are ergodic theory and probability.

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. 

Reviews

“This book represents a consistent reference on the basic theory of symmetric spaces of measurable functions also known as rearrangement invariant function spaces. … The text contains many illustrations in order to clarify concepts and make the theory more comprehensive and understandable. … The book is structured in such a way that it should correspond to a one-semester special course of lectures … .” (Santiago Boza, zbMATH 1361.42001, 2017)


Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $64.99
price for Mexico (gross)
  • ISBN 978-3-319-42758-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for Mexico
  • ISBN 978-3-319-42756-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for Mexico
  • ISBN 978-3-319-82656-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Foundations of Symmetric Spaces of Measurable Functions
Book Subtitle
Lorentz, Marcinkiewicz and Orlicz Spaces
Authors
Series Title
Developments in Mathematics
Series Volume
45
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42758-4
DOI
10.1007/978-3-319-42758-4
Hardcover ISBN
978-3-319-42756-0
Softcover ISBN
978-3-319-82656-1
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XVII, 259
Number of Illustrations
90 b/w illustrations
Topics

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