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An Introductory Course in Lebesgue Spaces / by Rene Erlin Castillo, Humberto Rafeiro.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Castillo, Rene Erlin., Author.
- Rafeiro, Humberto, Author.
- Series:
- CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237
- Language:
- English
- Subjects (All):
- Harmonic analysis.
- Functional analysis.
- Abstract Harmonic Analysis.
- Functional Analysis.
- Local Subjects:
- Abstract Harmonic Analysis.
- Functional Analysis.
- Physical Description:
- 1 online resource (XII, 461 p. 14 illus.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- Summary:
- 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.
- 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-30034-2
- OCLC:
- 953034737
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