An Introductory Course in Lebesgue Spaces

An Introductory Course in Lebesgue Spaces
Author: Rene Erlin Castillo
Publisher: Springer
Total Pages: 463
Release: 2016-06-23
Genre: Mathematics
ISBN: 3319300342


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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.


An Introductory Course in Lebesgue Spaces
Language: en
Pages: 463
Authors: Rene Erlin Castillo
Categories: Mathematics
Type: BOOK - Published: 2016-06-23 - Publisher: Springer

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This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribu
Fundamentals of Measurable Dynamics
Language: en
Pages: 190
Authors: Daniel J. Rudolph
Categories: Mathematics
Type: BOOK - Published: 1990 - Publisher: Oxford University Press, USA

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This book is designed to provide graduate students and other researchers in dynamical systems theory with an introduction to the ergodic theory of Lebesgue spac
An Introduction to Lebesgue Integration and Fourier Series
Language: en
Pages: 194
Authors: Howard J. Wilcox
Categories: Mathematics
Type: BOOK - Published: 2012-04-30 - Publisher: Courier Corporation

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This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not c
Variable Lebesgue Spaces
Language: en
Pages: 316
Authors: David V. Cruz-Uribe
Categories: Mathematics
Type: BOOK - Published: 2013-02-12 - Publisher: Springer Science & Business Media

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This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the
A First Course in Functional Analysis
Language: en
Pages: 257
Authors: Orr Moshe Shalit
Categories: Mathematics
Type: BOOK - Published: 2017-03-16 - Publisher: CRC Press

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Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert sp