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An introductory course in Lebesgue s...

Castillo, Rene Erlin.

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An introductory course in Lebesgue spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introductory course in Lebesgue spaces/ by 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Harmonic analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-30034-4
ISBN:	9783319300344

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

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

555704
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.785

An introductory course in Lebesgue spaces
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100 1 $a Castillo, Rene Erlin. $3 2200271
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 555704
650 0 $a Lebesgue integral. $3 540534
650 0 $a Algebraic spaces. $3 705293
650 0 $a Differential equations, Partial. $3 518115
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Abstract Harmonic Analysis. $3 891093
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Rafeiro, Humberto. $3 2200272
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a CMS books in mathematics. $3 2107033
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-30034-4
950 $a Mathematics and Statistics (Springer-11649)