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Real interpolation of Sobolev spaces

Mathematica Scandinavica (2009) 105(2) 235-264
DOI: 10.7146/math.scand.a-15117
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Abstract

We prove thatWp1 is a real interpolation space between Wp11 and Wp2l for p > q0 and 1 ≤ p1 < p < p2 ≤ ∞ on some classes of manifolds and general metric spaces, where qo depends on our hypotheses.

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Badr, N. (2009). Real interpolation of Sobolev spaces. Mathematica Scandinavica, 105(2), 235–264. https://doi.org/10.7146/math.scand.a-15117

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