Discrete Radon transforms and applications to ergodic theory

TY - JOUR

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.

UR - https://www.scopus.com/pages/publications/34249952367

UR - https://www.scopus.com/pages/publications/34249952367#tab=citedBy

U2 - 10.1007/s11511-007-0016-x

DO - 10.1007/s11511-007-0016-x

M3 - Article

SN - 0001-5962

VL - 198

SP - 231

EP - 298

JO - Acta Mathematica

JF - Acta Mathematica

IS - 2

ER -