Hello,

I am considering the following map:

,

I wan't to show that maps to . I have done the following (but get stuck):

How should I continue so that I and up with an expression which shows that ? Swich of integral?

Thanks.

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- April 5th 2011, 02:11 PMsurjectivemapping
Hello,

I am considering the following map:

,

I wan't to show that maps to . I have done the following (but get stuck):

How should I continue so that I and up with an expression which shows that ? Swich of integral?

Thanks. - April 5th 2011, 03:31 PMDrexel28
- April 5th 2011, 03:54 PMsurjective
Hey,

How did you get:

Sorry, but it's not quite clear. Where does the upper limit on the second integral come from and where does the constant in the last expression come from?? - April 5th 2011, 04:13 PMDrexel28
- April 5th 2011, 05:55 PMsurjective
Hello,

To show that the operator mentioned in the beginning is bounded, I have done the following using the above calculations :

If I could somehow get "rid" of one of the integrals then I would be home free?!!! Any suggestions?

Thanks. - April 5th 2011, 07:16 PMDrexel28