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

Research output: Contribution to journal › Article › peer-review

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

Access

10.1112/S0024609304004035

Fingerprint Dive into the research topics of 'Interplay between distributional estimates and boundedness in harmonic analysis'. Together they form a unique fingerprint.

Cite this

@article{e56ffa82a3594672bf7061bfb7835e21,

title = "Interplay between distributional estimates and boundedness in harmonic analysis",

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",

year = "2005",

month = jun,

doi = "10.1112/S0024609304004035",

language = "English (US)",

volume = "37",

pages = "427--434",

journal = "Bulletin of the London Mathematical Society",

issn = "0024-6093",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - Interplay between distributional estimates and boundedness in harmonic analysis

AU - Bilyk, Dmitriy

AU - Grafakos, Loukas

PY - 2005/6

Y1 - 2005/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=25644447963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25644447963&partnerID=8YFLogxK

U2 - 10.1112/S0024609304004035

DO - 10.1112/S0024609304004035

M3 - Article

AN - SCOPUS:25644447963

VL - 37

SP - 427

EP - 434

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 3

ER -