Discrete radon transforms and applications to ergodic theory

Discrete radon transforms and applications to ergodic theory

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

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Veröffentlicht in:Acta mathematica 2007-06, Vol.198 (2), p.231-298
Hauptverfasser: IONESCU, Alexandru D, STEIN, Elias M, MAGYAR, Akos, WAINGER, Stephen
Format: Artikel
Sprache:eng
Schlagworte:
Ergodic processes
Exact sciences and technology
General mathematics
General, history and biography
Global analysis, analysis on manifolds
Mathematics
Operators
Radon
Radon transformation
Sciences and techniques of general use
Theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Transforms
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Beschreibung
Zusammenfassung:We prove Lp boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and Lp ergodic theorems for certain families of non-commuting operators.
ISSN:0001-5962
1871-2509
DOI:10.1007/s11511-007-0016-x