Article ID Journal Published Year Pages File Type
4582505 Expositiones Mathematicae 2009 13 Pages PDF
Abstract

In this paper, we give a new proof of a result of R. Jones showing almost everywhere convergence of spherical means of actions of RdRd on Lp(X)Lp(X)-spaces are convergent for d⩾3d⩾3 and p>d/(d-1)p>d/(d-1).This is done by adapting the proof of the spherical maximal theorem by Rubio de Francia so as to obtain directly the ergodic theorem.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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