Interpolation of Besov Spaces in the Nondiagonal Case
نویسنده
چکیده
In the nondiagonal case, interpolation spaces for a collection of Besov spaces are described. The results are consequences of the fact that, whenever the convex hull of points (s̄0, η0), . . . , (s̄n, ηn) ∈ Rm+1 includes a ball of Rm+1, we have (l0 q0 ((X0, X1)η0,p0 ), . . . , l s̄n qn ((X0, X1)ηn,pn))θ̄,q = l s̄θ̄ q ((X0,X1)ηθ̄,q), where θ̄ = (θ0, . . . , θn) and (sθ̄ , ηθ̄) = θ0(s̄0, η0) + · · ·+ θn(s̄n, ηn).
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تاریخ انتشار 2007