An Introductory Course in Lebesgue Spaces

Author:   Rene Erlin Castillo ,  Humberto Rafeiro
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319300320


Pages:   461
Publication Date:   06 July 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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An Introductory Course in Lebesgue Spaces


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Author:   Rene Erlin Castillo ,  Humberto Rafeiro
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   9.198kg
ISBN:  

9783319300320


ISBN 10:   3319300326
Pages:   461
Publication Date:   06 July 2016
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

Reviews

The book under review is dedicated solely to Lebesgue spaces and their direct derivatives ... . The book may be recommended to graduate students and non-specialists in the area of function spaces. ... Each chapter is concluded with an extensive list of problems and short bibliographic notes. ... The book ends with a list of 86 references and with symbol and subject indices. (Alexei Yu. Karlovich, zbMATH 1352.46003, 2017)


Author Information

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. 

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