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An Introductory Course in Lebesgue Spaces / / by Rene Erlin Castillo, Humberto Rafeiro



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Autore: Castillo Rene Erlin Visualizza persona
Titolo: An Introductory Course in Lebesgue Spaces / / by Rene Erlin Castillo, Humberto Rafeiro Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (XII, 461 p. 14 illus.)
Disciplina: 515.785
Soggetto topico: Harmonic analysis
Functional analysis
Abstract Harmonic Analysis
Functional Analysis
Persona (resp. second.): RafeiroHumberto
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: An Introductory Course in Lebesgue Spaces  Visualizza cluster
ISBN: 3-319-30034-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254096603321
Lo trovi qui: Univ. Federico II
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Serie: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, . 1613-5237