f and f' square integrable

From: "Fedor" <malabar_carotte@xxxxxxxxx>
Date: 30 Dec 2006 14:02:32 -0800

Hi all,

suppose that f:R^n -->R is a smooth function such that f^2 and ( f '
)^2 are integrable over R^n. Is it true that f(x) tends towards 0 when
|x| tends towards infinity ? It is easy for n=1 but is it true for the
general case ?

Regards,
fedor

.

Follow-Ups:
- Re: f and f' square integrable
  - From: Stephen Montgomery-Smith

Prev by Date: SO(n) and O(n) questions
Next by Date: Re: JSH: It IS fraud
Previous by thread: SO(n) and O(n) questions
Next by thread: Re: f and f' square integrable
Index(es):
- Date
- Thread