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An introductory course in Lebesgue s...

Castillo, Rene Erlin.

An introductory course in Lebesgue spaces[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.785
書名/作者:	An introductory course in Lebesgue spaces/ by Rene Erlin Castillo, Humberto Rafeiro.
作者:	Castillo, Rene Erlin.
其他作者:	Rafeiro, Humberto.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xii, 461 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Harmonic analysis.
標題:	Lebesgue integral.
標題:	Algebraic spaces.
標題:	Differential equations, Partial.
標題:	Mathematics.
標題:	Abstract Harmonic Analysis.
標題:	Functional Analysis.
ISBN:	9783319300344
ISBN:	9783319300320
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-30034-4

An introductory course in Lebesgue spaces[electronic resource] /
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:

217657
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.785

An introductory course in Lebesgue spaces[electronic resource] /
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245 1 3 $a An introductory course in Lebesgue spaces $h [electronic resource] / $c by Rene Erlin Castillo, Humberto Rafeiro.
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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.
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650 0 $a Lebesgue integral. $3 403437
650 0 $a Algebraic spaces. $3 616584
650 0 $a Differential equations, Partial. $3 389324
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Abstract Harmonic Analysis. $3 466398
650 2 4 $a Functional Analysis. $3 464114
700 1 $a Rafeiro, Humberto. $3 660417
710 2 $a SpringerLink (Online service) $3 463450
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830 0 $a CMS books in mathematics. $3 647231
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-30034-4
950 $a Mathematics and Statistics (Springer-11649)

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