Re: a function which is an element of L1, but not L2

From: "damage" <itstrue@xxxxxxxxxxx>
Date: Wed, 18 Jan 2006 23:37:52 -0000

"The World Wide Wade" <waderameyxiii@xxxxxxxxxxxxxxxxxxxx> wrote in message
news:waderameyxiii-FC49E4.15294118012006@xxxxxxxxxxxxxxxxxxxxxxxxxxx
> In article <dqmiqp$hke$1@xxxxxxxxxxxxxxxxxx>,
> "damage" <itstrue@xxxxxxxxxxx> wrote:
>
>> > Consider f(x)=x^r on the interval (0,1). For which values of r
>> > is f in L^1? For which values of r is f in L^2?
>
>> r=0...to infinity.
>
> No, there are other values for each.
im confused..what are they?

and is the L^2 space contained in the L^1 space..
thank you

.

Follow-Ups:
- Re: a function which is an element of L1, but not L2
  - From: Rouben Rostamian
- Re: a function which is an element of L1, but not L2
  - From: damage

References:
- a function which is an element of L1, but not L2
  - From: damage
- Re: a function which is an element of L1, but not L2
  - From: Rouben Rostamian
- Re: a function which is an element of L1, but not L2
  - From: damage
- Re: a function which is an element of L1, but not L2
  - From: The World Wide Wade

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