Inequalities: A Journey into Linear Analysis

Inequalities: A Journey into Linear Analysis

by D. J. H. Garling
     
 

This book contains a wealth of inequalities used in linear analysis, explaining in detail how they are used.See more details below

Overview

This book contains a wealth of inequalities used in linear analysis, explaining in detail how they are used.

Product Details

ISBN-13:
9780521876247
Publisher:
Cambridge University Press
Publication date:
07/30/2007
Pages:
346
Product dimensions:
6.85(w) x 9.72(h) x 0.94(d)

Table of Contents

Introduction; 1. Measure and integral; 2. The Cauchy–Schwarz inequality; 3. The AM-GM inequality; 4. Convexity, and Jensen's inequality; 5. The Lp spaces; 6. Banach function spaces; 7. Rearrangements; 8. Maximal inequalities; 9. Complex interpolation; 10. Real interpolation; 11. The Hilbert transform, and Hilbert's inequalities; 12. Khintchine's inequality; 13. Hypercontractive and logarithmic Sobolev inequalities; 14. Hadamard's inequality; 15. Hilbert space operator inequalities; 16. Summing operators; 17. Approximation numbers and eigenvalues; 18. Grothendieck's inequality, type and cotype.

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