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.
- ISBN13 9783319826561
- Publish Date 4 July 2018 (first published 20 December 2016)
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition Softcover reprint of the original 1st ed. 2016
- Format Paperback
- Pages 259
- Language English