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An introductory course in Lebesgue s...
~
Castillo, Rene Erlin.
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.
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
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:
672073
Harmonic analysis.
LC Class. No.: QA403
Dewey Class. No.: 515.785
An introductory course in Lebesgue spaces
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by Rene Erlin Castillo, Humberto Rafeiro.
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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.
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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.
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Mathematics and Statistics (Springer-11649)
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