Endpoint mapping properties of spherical maximal operators

Andreas Seeger; Terence Tao; James Wright

doi:10.1017/S1474748003000057

Endpoint mapping properties of spherical maximal operators

Andreas Seeger, Terence Tao, James Wright

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

28 Citations (SciVal)

Abstract

For a function [formula omitted], [formula omitted], let [formula omitted] be the mean of [formula omitted] over the sphere of radius [formula omitted] centred at [formula omitted]. Given a set [formula omitted] of dilations we prove various endpoint bounds for the maximal operator [formula omitted] defined by [formula omitted], under some regularity assumptions on [formula omitted].

Original language	English
Pages (from-to)	109-144
Number of pages	36
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	2
Issue number	1
DOIs	https://doi.org/10.1017/S1474748003000057
Publication status	Published - Jan 2003
Externally published	Yes

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title = "Endpoint mapping properties of spherical maximal operators",

abstract = "For a function [formula omitted], [formula omitted], let [formula omitted] be the mean of [formula omitted] over the sphere of radius [formula omitted] centred at [formula omitted]. Given a set [formula omitted] of dilations we prove various endpoint bounds for the maximal operator [formula omitted] defined by [formula omitted], under some regularity assumptions on [formula omitted].",

keywords = "maximal operators, spherical means",

author = "Andreas Seeger and Terence Tao and James Wright",

year = "2003",

month = jan,

doi = "10.1017/S1474748003000057",

language = "English",

volume = "2",

pages = "109--144",

journal = "Journal of the Institute of Mathematics of Jussieu",

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T1 - Endpoint mapping properties of spherical maximal operators

AU - Seeger, Andreas

AU - Tao, Terence

AU - Wright, James

PY - 2003/1

Y1 - 2003/1

N2 - For a function [formula omitted], [formula omitted], let [formula omitted] be the mean of [formula omitted] over the sphere of radius [formula omitted] centred at [formula omitted]. Given a set [formula omitted] of dilations we prove various endpoint bounds for the maximal operator [formula omitted] defined by [formula omitted], under some regularity assumptions on [formula omitted].

AB - For a function [formula omitted], [formula omitted], let [formula omitted] be the mean of [formula omitted] over the sphere of radius [formula omitted] centred at [formula omitted]. Given a set [formula omitted] of dilations we prove various endpoint bounds for the maximal operator [formula omitted] defined by [formula omitted], under some regularity assumptions on [formula omitted].

KW - maximal operators

KW - spherical means

UR - https://www.scopus.com/pages/publications/85013687086

U2 - 10.1017/S1474748003000057

DO - 10.1017/S1474748003000057

M3 - Article

SN - 1474-7480

VL - 2

SP - 109

EP - 144

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

IS - 1

ER -

Endpoint mapping properties of spherical maximal operators

Abstract

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