Interplay between distributional estimates and boundedness in harmonic analysis

Dmitriy Bilyk; Loukas Grafakos

doi:10.1112/S0024609304004035

Interplay between distributional estimates and boundedness in harmonic analysis

Dmitriy Bilyk, Loukas Grafakos

Mathematics

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Abstract

In this paper, a proof is given that certain boundedness properties of operators yield distributional estimates that have exponential decay at infinity. Such distributional estimates imply local exponential integrability, and apply to many operators such as $m$-linear Calderón-Zygmund operators and their maximal counterparts.

Original language	English (US)
Pages (from-to)	427-434
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	37
Issue number	3
DOIs	https://doi.org/10.1112/S0024609304004035
State	Published - Jun 2005

Bibliographical note

Funding Information:
Received 21 October 2003; revised 18 May 2004. 2000 Mathematics Subject Classification 46B70, 42B99. Both authors were supported by the National Science Foundation under grant DMS 0099881.

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abstract = "In this paper, a proof is given that certain boundedness properties of operators yield distributional estimates that have exponential decay at infinity. Such distributional estimates imply local exponential integrability, and apply to many operators such as $m$-linear Calder{\'o}n-Zygmund operators and their maximal counterparts.",

author = "Dmitriy Bilyk and Loukas Grafakos",

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Interplay between distributional estimates and boundedness in harmonic analysis

Abstract

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