An integral inequality for the disc multiplier
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Abstract:
In this paper an integral inequality is proved for the Bochner-Riesz operators in dimension two. This inequality expresses how those operators are controlled by maximal functions associated to families of rectangles with an appropriate number of directions.References
- Antonio Cordoba, The Kakeya maximal function and the spherical summation multipliers, Amer. J. Math. 99 (1977), no. 1, 1–22. MR 447949, DOI 10.2307/2374006
- A. Córdoba, A note on Bochner-Riesz operators, Duke Math. J. 46 (1979), no. 3, 505–511. MR 544242, DOI 10.1215/S0012-7094-79-04625-8
- A. Córdoba, The multiplier problem for the polygon, Ann. of Math. (2) 105 (1977), no. 3, 581–588. MR 438022, DOI 10.2307/1970926
- A. Córdoba and B. López-Melero, Spherical summation: a problem of E. M. Stein, Ann. Inst. Fourier (Grenoble) 31 (1981), no. 3, x, 147–152 (English, with French summary). MR 638621, DOI 10.5802/aif.842
- José L. Rubio de Francia, Weighted norm inequalities and vector valued inequalities, Harmonic analysis (Minneapolis, Minn., 1981) Lecture Notes in Math., vol. 908, Springer, Berlin-New York, 1982, pp. 86–101. MR 654181
- E. M. Stein, Some problems in harmonic analysis, Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown, Mass., 1978) Proc. Sympos. Pure Math., XXXV, Part, Amer. Math. Soc., Providence, R.I., 1979, pp. 3–20. MR 545235
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 407-408
- MSC: Primary 42B15; Secondary 35S05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0759664-6
- MathSciNet review: 759664