TY  - BOOK
AU  - Castillo,Rene Erlin
AU  - Rafeiro,Humberto
ED  - SpringerLink (Online service)
TI  - An Introductory Course in Lebesgue Spaces
T2  - CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
SN  - 9783319300344
AV  - QA403-403.3 
U1  - 515.785 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Harmonic analysis
KW  - Functional analysis
KW  - Abstract Harmonic Analysis
KW  - Functional Analysis
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-30034-4
ER  -