An introductory course in Lebesgue spaces [electronic resource] / Rene Erlin Castillo, Humberto Rafeiro.
2016
QA403
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Details
Title
An introductory course in Lebesgue spaces [electronic resource] / Rene Erlin Castillo, Humberto Rafeiro.
ISBN
9783319300344 (electronic book)
3319300342 (electronic book)
9783319300320
3319300326
3319300342 (electronic book)
9783319300320
3319300326
Published
Switzerland : Springer, 2016.
Language
English
Description
1 online resource (xii, 461 pages) : illustrations.
Item Number
10.1007/978-3-319-30034-4 doi
Call Number
QA403
Dewey Decimal Classification
515.785
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and indexes.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 5, 2016).
Added Author
Rafeiro, Humberto, author.
Series
CMS books in mathematics.
Available in Other Form
Print version: 3319300326
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Table of Contents
Convex Functions and Inequalities
Lebesgue Sequence Spaces
Lebesgue Spaces
Distribution Function and Non-Increasing Rearrangement
Weak Lebesgue Spaces
Lorentz Spaces
Non-Standard Lebesgue Spaces
Interpolation of Operators
Maximal Operator
Integral Operators
Convolution and Potentials
Appendices.
Lebesgue Sequence Spaces
Lebesgue Spaces
Distribution Function and Non-Increasing Rearrangement
Weak Lebesgue Spaces
Lorentz Spaces
Non-Standard Lebesgue Spaces
Interpolation of Operators
Maximal Operator
Integral Operators
Convolution and Potentials
Appendices.