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Titlebook: An Introductory Course in Lebesgue Spaces; Rene Erlin Castillo,Humberto Rafeiro Textbook 2016 Springer International Publishing Switzerlan

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期刊全称An Introductory Course in Lebesgue Spaces
影响因子2023Rene Erlin Castillo,Humberto Rafeiro
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发行地址Introduces reader to recent topics in spaces of measurable functions.Includes section of problems at the end of each chapter ?.Content allows for use with mixed-level classes.Includes non-standard fun
学科分类CMS Books in Mathematics
图书封面Titlebook: An Introductory Course in Lebesgue Spaces;  Rene Erlin Castillo,Humberto Rafeiro Textbook 2016 Springer International Publishing Switzerlan
影响因子.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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CMS Books in Mathematicshttp://image.papertrans.cn/a/image/155613.jpg
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https://doi.org/10.1007/978-3-319-30034-4Convex functions; Lebesgue spaces; Lorentz spaces; Variable exponent Lebesgue spaces; Grand Lebesgue spa
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https://doi.org/10.1007/978-3-8349-6213-3important tools in Analysis in general and not only in Convex Analysis. In this chapter we will introduce the notion of convexity in its various formulations, and we give some characterizations of convex functions and a few applications of convexity, namely, some classical inequalities as well as no
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https://doi.org/10.1007/978-3-322-98947-5erties of the spaces, e.g., completeness, separability, duality, and embedding. We also examine the validity of Hölder, Minkowski, Hardy, and Hilbert inequality which are related to the aforementioned spaces. Although Lebesgue sequence spaces can be obtained from Lebesgue spaces using a discrete mea
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