An Introductory Course in Lebesgue Spaces / CMS Books in Mathematics (PDF)
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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.
Humberto Rafeiro received his PhD from Algarve University, Portugal and did postdoctoral work in the research group Centro de Análise Funcional e Aplicações in the Instituto Superior Técnico, Universidade de Lisboa, Portugal. Nowadays he is a professor in the Pontifical Universidad Javeriana. His research interests range from harmonic analysis, function spaces, operator theory in non-standard function spaces, potential type operators, hypersingular integrals and fractional calculus, having published near 40 papers on these subjects. He has co-authored a textbook in Spanish.
- Autoren: Rene Erlin Castillo , Humberto Rafeiro
- 2016, 1st ed. 2016, 461 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319300342
- ISBN-13: 9783319300344
- Erscheinungsdatum: 23.06.2016
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- Dateiformat: PDF
- Grösse: 4.07 MB
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