𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

An Introductory Course in Lebesgue Spaces

✍ Scribed by Rene Erlin Castillo, Humberto Rafeiro

Publisher
Springer
Year
2016
Tongue
English
Leaves
463
Series
CMS Books in Mathematics
Edition
1st ed. 2016
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

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

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.

Topics
Abstract Harmonic Analysis
Functional Analysis

✦ Table of Contents

Front Matter....Pages i-xii
Convex Functions and Inequalities....Pages 1-19
Front Matter....Pages 21-21
Lebesgue Sequence Spaces....Pages 23-42
Lebesgue Spaces....Pages 43-137
Distribution Function and Nonincreasing Rearrangement....Pages 139-182
Weak Lebesgue Spaces....Pages 183-214
Lorentz Spaces....Pages 215-268
Nonstandard Lebesgue Spaces....Pages 269-310
Front Matter....Pages 311-311
Interpolation of Operators....Pages 313-330
Maximal Operator....Pages 331-358
Integral Operators....Pages 359-382
Convolution and Potentials....Pages 383-417
Back Matter....Pages 419-461

✦ Subjects

Abstract Harmonic Analysis; Functional Analysis

πŸ“œ SIMILAR VOLUMES

An Introductory Course in Lebesgue Space
πŸ“ An Introductory Course in Lebesgue Spaces
✍ Rene Erlin Castillo, Humberto Rafeiro πŸ“‚ Library πŸ“… 2016 πŸ› Springer 🌐 English

<p>This book is devoted exclusively to Lebesgue spaces and their directΒ derived spaces. Unique in its sole dedication, this book explores LebesgueΒ spaces, distribution functions and nonincreasing rearrangement.Β Moreover, it also deals with weak, Lorentz and the more recent variableΒ exponent and gran

An Introductory Course in Lebesgue Space
πŸ“ An Introductory Course in Lebesgue Spaces
✍ Rene Erlin Castillo, Humberto Rafeiro (auth.) πŸ“‚ Library πŸ“… 2016 πŸ› Springer International Publishing 🌐 English

<p><p>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 g

The Routledge Introductory Course in Mor
πŸ“ The Routledge Introductory Course in Moroccan Arabic ; An Introductory Course
✍ Jan Hoogland πŸ“‚ Library πŸ“… 2017 πŸ› Routledge 🌐 English

<em>The Routledge Introductory Course in Moroccan Arabic</em> is ideal for both class-based and independent learners.<br /><br />No prior knowledge of Arabic is required as the course guides you step-by-step through the essentials of the language. Transliteration is used throughout to provide learne

An Introductory Course in Summability Th
πŸ“ An Introductory Course in Summability Theory
✍ Aasma, Ants; Dutta, Hemen; Natarajan, Pinnangudi Narayanasubramanian πŸ“‚ Library πŸ“… 2017 πŸ› Wiley 🌐 English

<p><b>An introductory course in summability theory for students, researchers, physicists, and engineers</b></p> <p>In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course