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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Castillo, Rene Erlin (Autor), Rafeiro, Humberto (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Temas:
Acceso en línea:Texto Completo

MARC

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490 1 |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,  |x 2197-4152 
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. 
650 0 |a Functional analysis. 
650 1 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Functional Analysis. 
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