An Introductory Course in Lebesgue Spaces

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 L...

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Bibliographic Details
Main Authors: Castillo, Rene Erlin (Author), Rafeiro, Humberto (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Subjects:
Online Access:Full Text via HEAL-Link
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100 1 |a Castillo, Rene Erlin.  |e author. 
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. 14 illus.  |b online resource. 
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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 Mathematics. 
650 0 |a Harmonic analysis. 
650 0 |a Functional analysis. 
650 1 4 |a Mathematics. 
650 2 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Functional Analysis. 
700 1 |a Rafeiro, Humberto.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319300320 
830 0 |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,  |x 1613-5237 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-30034-4  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)