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An introductory course in Lebesgue s...

Castillo, Rene Erlin.

An introductory course in Lebesgue spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introductory course in Lebesgue spacesby Rene Erlin Castillo, Humberto Rafeiro.
Author:	Castillo, Rene Erlin.
other author:	Rafeiro, Humberto.
Published:	Cham :Springer International Publishing :2016.
Description:	xii, 461 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Harmonic analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-30034-4
ISBN:	9783319300344$q(electronic bk.)

An introductory course in Lebesgue spaces
Castillo, Rene Erlin.

An introductory course in Lebesgue spaces[electronic resource] /by Rene Erlin Castillo, Humberto Rafeiro. - Cham :Springer International Publishing :2016. - xii, 461 p. :ill., digital ;24 cm. - CMS books in mathematics,1613-5237. - CMS books in mathematics..

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.

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.

ISBN: 9783319300344$q(electronic bk.)

Standard No.: 10.1007/978-3-319-30034-4doiSubjects--Topical Terms:

189705
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.785

An introductory course in Lebesgue spaces
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245 1 3 $a An introductory course in Lebesgue spaces $h [electronic resource] / $c by Rene Erlin Castillo, Humberto Rafeiro.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xii, 461 p. : $b ill., digital ; $c 24 cm.
490 1 $a CMS books in mathematics, $x 1613-5237
505 0 $a 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.
520 $a 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.
650 0 $a Harmonic analysis. $3 189705
650 0 $a Lebesgue integral. $3 236010
650 0 $a Algebraic spaces. $3 345351
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Abstract Harmonic Analysis. $3 274074
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Rafeiro, Humberto. $3 750296
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a CMS books in mathematics. $3 700260
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-30034-4
950 $a Mathematics and Statistics (Springer-11649)