Author | Uchiyama, Akihito. author |
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Title | Hardy Spaces on the Euclidean Space [electronic resource] / by Akihito Uchiyama |
Imprint | Tokyo : Springer Japan : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-4-431-67905-9 |
Descript | XIII, 305 p. online resource |
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. Feffermanโs original proof of -- 20. Varopoulosโs 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