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An integral inequality for the disc multiplier


Author: A. Córdoba
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
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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 [Enhancements On Off] (What's this?)

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  • [3] -, The multiplier problem for the polygon, Ann. of Math. (2) 105 (1977). MR 0438022 (55:10943)
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DOI: https://doi.org/10.1090/S0002-9939-1984-0759664-6
Article copyright: © Copyright 1984 American Mathematical Society

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