An Introductory Course in Lebesgue Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book An Introductory Course in Lebesgue Spaces by Rene Erlin Castillo, Humberto Rafeiro, Springer International Publishing
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Author: Rene Erlin Castillo, Humberto Rafeiro ISBN: 9783319300344
Publisher: Springer International Publishing Publication: June 23, 2016
Imprint: Springer Language: English
Author: Rene Erlin Castillo, Humberto Rafeiro
ISBN: 9783319300344
Publisher: Springer International Publishing
Publication: June 23, 2016
Imprint: Springer
Language: English

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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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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