An Introductory Course in Lebesgue Spaces

An Introductory Course in Lebesgue Spaces

Author
Rene Erlin Castillo, Humberto Rafeiro (auth.)
Publisher
Springer International Publishing
Language
English
Edition
1
Year
2016
Page
XII, 461
ISBN
978-3-319-30032-0, 978-3-319-30034-4
File Type
pdf
File Size
4.1 MiB

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.

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