Overview

Still waters run deep.

Full Product Details

Author:   Akihito Uchiyama ,  Peter W. Jones
Publisher:   Springer Verlag, Japan
Imprint:   Springer Verlag, Japan
Edition:   2001 ed.
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.647kg
ISBN:  

9784431703198

ISBN 10:   4431703195
Pages:   305
Publication Date:   01 July 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

0. Introduction.- 1. Lipschitz spaces and BMO.- 2. Atomic Hp spaces.- 3. Operators on Hp.- 4. Atomic decomposition from grand maximal functions.- 5. Atomic decomposition from S functions.- 6. Hardy-Littlewood-Fefferman-Stein type inequalities, 1.- 7. Hardy-Littlewood-Fefferman-Stein type inequalities, 2.- 8*Hardy-Littlewood-Fefferman-Stein type inequalities, 3.- 9. Grand maximal functions from radial maximal functions.- 10* S-functions from g-functions.- 11. Good ? inequalities for nontangential maximal functions and S-functions of harmonic functions.- 14. Subharmonicity, 1.- 15. Subharmonicity, 2.- 16. Preliminaries for characterizations of Hp in terms of Fourier multipliers.- 17. Characterization of Hp in terms of Riesz transforms.- 18. Other results on the characterization of Hp in terms of Fourier multipliers.- 19. Fefferman’s original proof of.- 20. Varopoulos’s proof of the above inequality.- 21. The Fefferman-Stein decomposition of BMO.- 22. A constructive proof of the Fefferman-Stein decomposition of BMO.- 23. Vector-valued unimodular BMO functions.- 24. Extension of the Fefferman-Stein decomposition of BMO, 1.- 25. Characterization of H1 in terms of Fourier multipliers.- 26. Extension of the Fefferman-Stein decomposition of BMO, 2.- 27. Characterization of Hp in terms of Fourier multipliers.- 28. The one-dimensional case.- References.

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