conjugate exponent of 5/3 is ?
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Step-by-step explanation:
If 1 ≤ p < ∞, p′ is the exponent conjugate to p, and m ≥ 1, the dual space ( W
m,p
0
(Ω))′ is isometrically isomorphic to the Banach space W−m,p′(Ω) consisting of those distributions T ∈ D′(Ω) that satisfy (5) and having norm
||T||=min{||υ;Lp′(Ω(m))||:υ satisfies(5)}.
The completeness of this space is a consequence of the isometric isomorphism. Evidently W−m,p′(Ω) is separable and reflexive if 1 < p < ∞.
When W
m,p
0
(Ω) is a proper subset of Wm,p(Ω), continuous linear functionals on Wm,p(Ω) are not fully determined by their restrictions to C0(Ω), and so are not determined by distributions T given by (5).
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