Overview
- Introduces reader to recent topics in spaces of measurable functions
- Includes section of problems at the end of each chapter ?
- Content allows for use with mixed-level classes
- Includes non-standard function spaces, viz. variable exponent Lebesgue spaces and grand Lebesgue spaces
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
A Concise Excursion into Harmonic Analysis
-
Front Matter
-
-
Back Matter
Keywords
About this book
This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.
Reviews
Authors and Affiliations
About the authors
René Erlín Castillo obtained his PhD from Ohio University. He has been professor in Universidad de Oriente, Venezuela, Visiting Professor in Ohio University and nowadays he is a professor in the Universidad Nacional de Colombia. His research, spread across around 50 papers, is done mainly in functional analysis, real analysis, complex analysis, harmonic analysis, operator theory, potential theory and partial Differential Equations. He has authored a book and a textbook both in Spanish.
Humberto Rafeiro received his PhD from Algarve University, Portugal and did postdoctoral work in the research group Centro de Análise Funcional e Aplicações in the Instituto Superior Técnico, Universidade de Lisboa, Portugal. Nowadays he is a professor in the Pontifical Universidad Javeriana. His research interests range from harmonic analysis, function spaces, operator theory in non-standard function spaces, potential type operators, hypersingular integrals and fractional calculus, having published near 40 papers on these subjects. He has co-authored a textbook in Spanish.
Bibliographic Information
Book Title: An Introductory Course in Lebesgue Spaces
Authors: Rene Erlin Castillo, Humberto Rafeiro
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-30034-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-30032-0Published: 06 July 2016
Softcover ISBN: 978-3-319-80709-6Published: 30 May 2018
eBook ISBN: 978-3-319-30034-4Published: 23 June 2016
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XII, 461
Number of Illustrations: 14 b/w illustrations