An Introductory Course in Lebesgue Spaces

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

René Erlín Castillo obtained his PhD from Ohio University. He has been professor in Universidad de Oriente, Venezuela, Visiting Professor in Ohio University and nowadays he is a professor in the Universidad Nacional de Colombia. His research, spread across around 50 papers, is done mainly in functional analysis, real analysis, complex analysis, harmonic analysis, operator theory, potential theory and partial Differential Equations. He has authored a book and a textbook both in Spanish.

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.

Zusammenfassung

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 function spaces, viz. variable exponent Lebesgue spaces and grand Lebesgue spaces

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	CMS Books in Mathematics
Inhalt:	xii 461 S. 14 s/w Illustr. 461 p. 14 illus.
ISBN-13:	9783319300320
ISBN-10:	3319300326
Sprache:	Englisch
Herstellernummer:	978-3-319-30032-0
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Rafeiro, Humberto Castillo, Rene Erlin
Auflage:	1st ed. 2016
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG CMS Books in Mathematics
Maße:	241 x 160 x 30 mm
Von/Mit:	Humberto Rafeiro (u. a.)
Erscheinungsdatum:	06.07.2016
Gewicht:	0,962 kg

Artikel-ID: 103980855