An endpoint estimate for the discrete spherical maximal function

Alexandru D. Ionescu

doi:10.1090/S0002-9939-03-07207-1

An endpoint estimate for the discrete spherical maximal function

Alexandru D. Ionescu

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

24 Scopus citations

Abstract

We prove that the discrete spherical maximal function extends to a bounded operator from L ^d/(d-2),1(ℤ ^d) to L ^d/(d-2),(ℤ ^d) in dimensions d ≥ 5. This is an endpoint estimate for a recent theorem of Magyar, Stein and Wainger.

Original language	English (US)
Pages (from-to)	1411-1417
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-03-07207-1
State	Published - May 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-03-07207-1

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abstract = "We prove that the discrete spherical maximal function extends to a bounded operator from L d/(d-2),1(ℤ d) to L d/(d-2),(ℤ d) in dimensions d ≥ 5. This is an endpoint estimate for a recent theorem of Magyar, Stein and Wainger.",

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AB - We prove that the discrete spherical maximal function extends to a bounded operator from L d/(d-2),1(ℤ d) to L d/(d-2),(ℤ d) in dimensions d ≥ 5. This is an endpoint estimate for a recent theorem of Magyar, Stein and Wainger.

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JF - Proceedings of the American Mathematical Society

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An endpoint estimate for the discrete spherical maximal function

Abstract

All Science Journal Classification (ASJC) codes

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