An Introductory Course In Lebesgue Spaces by Rene Erlin CastilloAn Introductory Course In Lebesgue Spaces by Rene Erlin Castillo

An Introductory Course In Lebesgue Spaces

byRene Erlin Castillo, Humberto Rafeiro

Hardcover | July 6, 2016

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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.

René Erlín Castillo obtained his PhD from Ohio University. He has been professor in Universidad de Oriente, Venezuela, Visiting Professor in Ohio University and nowadays he is a professor in the Universidad Nacional de Colombia. His research, spread across  around 50 papers, is done mainly in functional analysis, real analysis, complex...
Title:An Introductory Course In Lebesgue SpacesFormat:HardcoverDimensions:461 pagesPublished:July 6, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319300326

ISBN - 13:9783319300320


Table of Contents

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.

Editorial Reviews

"The book under review is dedicated solely to Lebesgue spaces and their direct derivatives . . The book may be recommended to graduate students and non-specialists in the area of function spaces. . Each chapter is concluded with an extensive list of problems and short bibliographic notes. . The book ends with a list of 86 references and with symbol and subject indices." (Alexei Yu. Karlovich, zbMATH 1352.46003, 2017)