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?
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?