Geodesic
Idempotent Multipliers of H 1(T)
Canadian journal of mathematics, Tome 39 (1987) no. 5, pp. 1223-1234

Voir la notice de l'article provenant de la source Cambridge University Press

Let as usual T = R/2π Z be the circle, and H 1 the subspace of L 1(T) of all f such that for all integers n < 0. The norm restricted to H 1, makes it a Banach space. By a multiplier of H 1 we mean a bounded linear operator m:H 1 → H 1 such that there is a sequence in C with 
Klemes, I. Idempotent Multipliers of H 1(T). Canadian journal of mathematics, Tome 39 (1987) no. 5, pp. 1223-1234. doi: 10.4153/CJM-1987-062-5
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[1] 1. Fournier, J. J. F., On a theorem of Paley and the Littlewood conjecture, Arkiv for Mathematik 17(1979), 199–216. Google Scholar

[2] 2. Graham, C. C. and McGehee, O. C., Essays in commutative harmonic analysis, (Springer Verlag, New York, 1979). Google Scholar | DOI

[3] 3. Helson, H., Note on harmonic functions, Proc. Amer. Math. Soc. 4 (1953), 686–691. Google Scholar

[4] 4. Helson, H., On a theorem of Szegö, Proc. Amer. Math. Soc. 6 (1955), 235–242. Google Scholar

[5] 5. Klemes, I., The idempotent multipliers of H1(T), Abstracts of Amer. Math. Soc. 5 (1984), 379. Google Scholar

[6] 6. Klemes, I. I. Idempotent multipliers of H1 on the circle, II. A mean oscillation inequality for rearrangements, Ph.D. thesis, California Institute of Technology (1985). Google Scholar

[7] 7. McGehee, O. C., Pigno, L. and Smith, B., Hardy's inequality and the L1 norm of exponential sums, Ann. of Math. 113 (1981), 613–618. Google Scholar

[8] 8. Paley, R. E. A. C., On the lacunary coefficients of power series, Ann. of Math. 34 (1933), 615–616. Google Scholar

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