LP-FUNCTIONS SATISFYING THE MEAN-VALUE PROPERTY ON HOMOGENEOUS SPACES

Citation
A. Sitaram et Ga. Willis, LP-FUNCTIONS SATISFYING THE MEAN-VALUE PROPERTY ON HOMOGENEOUS SPACES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 56, 1994, pp. 384-390
Citations number
12
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
ISSN journal
02636115
Volume
56
Year of publication
1994
Part
3
Pages
384 - 390
Database
ISI
SICI code
0263-6115(1994)56:<384:LSTMPO>2.0.ZU;2-U
Abstract
It is proved that on certain kinds of homogeneous spaces, the only L(p ) function, 1 less-than-or-equal-to p < infinity, satisfying the mean value property is the zero function.