Interpolation of subspaces and applications to exponential bases in Sobolev spaces

Details Interpolation of subspaces and applications to exponential bases in Sobolev spaces Interpolation of subspaces and applications to exponential bases in Sobolev spaces

2001-04-12

arxiv.org/abs/math/0104130v1

S.Petersburg Math. J. (Algebra i Analiz) v.13, no.2, pp. 93-115

Mathematics

Functional Analysis

23 pages, LaTeX

Scientific paper

We give precise conditions under which the real interpolation space [Y_0,X_1]_{s,p} coincides with a closed subspace of the corresponding interpolation space [X_0,X_1]_{s,p} when Y_0 is a closed subspace of X_0 of codimension one. This result is applied to study the basis properties of nonharmonic Fourier series in Sobolev spaces H^s on an interval when 0

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