Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582505 | Expositiones Mathematicae | 2009 | 13 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Philippe Jaming,