國立虎尾科技大學 |

An Introductory Course in Lebesgue Spaces

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An Introductory Course in Lebesgue Spaces/ by Rene Erlin Castillo, Humberto Rafeiro.
Author:	Castillo, Rene Erlin.
other author:	Rafeiro, Humberto.
Description:	XII, 461 p. 14 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Harmonic analysis. -
Online resource:	https://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. - 1st ed. 2016. - XII, 461 p. 14 illus.online resource. - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,1613-5237. - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,.

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:

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

An Introductory Course in Lebesgue Spaces
LDR:02360nam a22004095i 4500 001 980492
003 DE-He213
005 20200630020911.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319300344 $9 978-3-319-30034-4
024 7 $a 10.1007/978-3-319-30034-4 $2 doi
035 $a 978-3-319-30034-4
050 4 $a QA403-403.3
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.785 $2 23
100 1 $a Castillo, Rene Erlin. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1110633
245 1 3 $a An Introductory Course in Lebesgue Spaces $h [electronic resource] / $c by Rene Erlin Castillo, Humberto Rafeiro.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XII, 461 p. 14 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, $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 672073
650 0 $a Functional analysis. $3 527706
650 1 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Functional Analysis. $3 672166
700 1 $a Rafeiro, Humberto. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1110634
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319300320
776 0 8 $i Printed edition: $z 9783319300337
776 0 8 $i Printed edition: $z 9783319807096
830 0 $a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, $x 1613-5237 $3 1266693
856 4 0 $u https://doi.org/10.1007/978-3-319-30034-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)