Discrete Radon transforms and applications to ergodic theory

Alexandru D. Ionescu; Elias M. Stein; Akos Magyar; Stephen Wainger

doi:10.1007/s11511-007-0016-x

Discrete Radon transforms and applications to ergodic theory

Alexandru D. Ionescu, Elias M. Stein, Akos Magyar, Stephen Wainger

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

24 Scopus citations

Abstract

We prove L ^p boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and L ^p ergodic theorems for certain families of non-commuting operators.

Original language	English (US)
Pages (from-to)	231-298
Number of pages	68
Journal	Acta Mathematica
Volume	198
Issue number	2
DOIs	https://doi.org/10.1007/s11511-007-0016-x
State	Published - Jun 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Discrete Radon transforms and applications to ergodic theory",

abstract = "We prove L p boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and L p ergodic theorems for certain families of non-commuting operators.",

author = "Ionescu, \{Alexandru D.\} and Stein, \{Elias M.\} and Akos Magyar and Stephen Wainger",

note = "Funding Information: A. Ionescu was supported in part by an NSF grant, a Sloan fellowship and a Packard fellowship. A. Magyar was supported in part by an NSF grant. E. M. Stein was supported in part by an NSF grant. S. Wainger was supported in part by an NSF grant.",

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T1 - Discrete Radon transforms and applications to ergodic theory

AU - Ionescu, Alexandru D.

AU - Stein, Elias M.

AU - Magyar, Akos

AU - Wainger, Stephen

N1 - Funding Information: A. Ionescu was supported in part by an NSF grant, a Sloan fellowship and a Packard fellowship. A. Magyar was supported in part by an NSF grant. E. M. Stein was supported in part by an NSF grant. S. Wainger was supported in part by an NSF grant.

PY - 2007/6

Y1 - 2007/6

N2 - We prove L p boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and L p ergodic theorems for certain families of non-commuting operators.

AB - We prove L p boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and L p ergodic theorems for certain families of non-commuting operators.

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Discrete Radon transforms and applications to ergodic theory

Abstract

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