The spherical ergodic theorem revisited
نویسندگان
چکیده
منابع مشابه
The spherical ergodic theorem revisited
In this paper, we give a new proof of a result of R. Jones showing almost everywhere convergence of spherical means of actions of R on L(X)-spaces are convergent for d ≥ 3 and 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.
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2009
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2009.02.004