p*****n
发帖数: 758 | 1 f is a non-negative Lesbegue integrable function on [0,1]. If for every n=1,
2,3... integration of f^n on [0,1]=integration of f on [0,1], show that f
must equals to a characteristic function of a set almost everywhere.
thx | p*****n
发帖数: 758 | 2 自己做出来了，谢谢大家！
1,
【在 p*****n 的大作中提到】
: f is a non-negative Lesbegue integrable function on [0,1]. If for every n=1,
: 2,3... integration of f^n on [0,1]=integration of f on [0,1], show that f
: must equals to a characteristic function of a set almost everywhere.
: thx
|
|
