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＜電子ブック＞
An Introductory Course in Lebesgue Spaces / by Rene Erlin Castillo, Humberto Rafeiro
(CMS Books in Mathematics, Ouvrages de mathématiques de la SMC. ISSN:21974152)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XII, 461 p. 14 illus : online resource
著者標目	*Castillo, Rene Erlin author Rafeiro, Humberto author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Functional analysis FREE:Abstract Harmonic Analysis FREE:Functional Analysis
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-30034-4

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