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| ``Re: motivation for Sobolev conjugate exponent?''
by rspuzio on 2005-02-23 13:24:31 |
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| | The motivation is that the space with exponent p is the dual vector space to the space with exponent q. In particular, note that when p=2, then q=2. In that case, the space is dual to itself. This comes from the fact that, when p=2, the space is a Hilbert space ans, as Riesz showed, Hilbert spaces are their own duals. |
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