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- W2615663977 abstract "We prove that if a multilinear operator and all its adjoints map L1 x x L1 to L1/m,oo, then the distribution function of the operator applied to characteristic functions of sets of finite measure has exponential decay at infinity. These estimates are based only on the boundedness properties and not the specific structure of the operator. The result applies to multilinear Calderon-Zygmund operators and several maximal operators. We have also obtained similar distributional estimates for the bilinear Hilbert transform: . . . . . . . .These estimates refect the exponential decay of the distribution function at infinity and also, up to a logarithmic factor, cover the endpoint cases of the region treated by Lacey and Thiele. Distributional estimates of this type also imply the boundedness of the operator on other rearrangement invariant spaces, in particular, the local exponential integrability." @default.
- W2615663977 created "2017-05-26" @default.
- W2615663977 creator A5069115951 @default.
- W2615663977 date "2021-04-14" @default.
- W2615663977 modified "2023-09-26" @default.
- W2615663977 title "Distributional estimates for multilinear operators" @default.
- W2615663977 doi "https://doi.org/10.32469/10355/4139" @default.
- W2615663977 hasPublicationYear "2021" @default.
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