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Convoluteurs of $H^p$ spaces
Author(s):
R.
Johnson
Journal:
Bull. Amer. Math. Soc.
81
(1975),
711-714.
MSC (1970):
Primary 42A18;
Secondary 46J15, 46J35
MathSciNet review:
0370054
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Additional information
References:
- 1.
- P. L. Duren and A. L. Shields, Coefficient multipliers of H, Pacific J. Math. 32 (1970), 69-78. MR 41 #485. MR 255825
- 2.
- C. Fefferman and E. Stein, H, Acta Math. 129 (1972), 137-193. MR 447953
- 3.
- T. M. Flett, Some elementary inequalities for integrals with applications to Fourier transforms, Proc. London Math. Soc. 29 (1974), 538-557. MR 360959
- 4.
- G. H. Hardy and J. E. Littlewood, Theorems concerning mean values of analytic or harmonic functions, Quart. J. Math. Oxford Ser. 12 (1941), 221-256. MR 4, 8. MR 6581
- 5.
- C. S. Herz, Lipschitz spaces and Bernštein's theorem on absolutely convergent Fourier transforms, J. Math. Mech. 18 (1968), 283-324. MR 438109
- 6.
- R. Johnson, Temperatures, Riesz potentials and the Lipschitz spaces of Herz, Proc. London Math. Soc. (3) 27 (1973), 290-316. MR 374895
- 7.
- R. Johnson, Lipschitz spaces, Littlewood-Paley spaces and convoluteurs, Proc. London Math. Soc. 29 (1974), 127-141. MR 355578
- 8.
- J. Peetre, Remarques sur les espaces de Besov, Le cas $0<p<1$, C. R. Acad. Sci. Paris Sér. A 277 (1973), A947-A949. MR 338768
- 9.
- E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Math. Ser., no. 30, Princeton Univ. Press, Princeton, N. J., 1970. MR 44 #7280. MR 290095
- 10.
- E. Stein and A. Zygmund, Boundedness of translation invariant operators on Hölder spaces and L, Ann. of Math. (2) 85 (1967), 337-349. MR 35 #5964. MR 215121
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13832-8
PII:
S 0002-9904(1975)13832-8
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