Real interpolation of Sobolev spaces associated to a weight
نویسندگان
چکیده
We hereby study the interpolation property of Sobolev spaces of order 1 denoted by W 1 p,V , arising from Schrödinger operators with positive potential. We show that for 1 ≤ p1 < p < p2 < q0 with p > s0, W 1 p,V is a real interpolation space between W 1 p1,V and W 1 p2,V on some classes of manifolds and Lie groups. The constants s0, q0 depend on our hypotheses.
منابع مشابه
Abstract Hardy-Sobolev spaces and interpolation
Hardy-Sobolev spaces and interpolation N. Badr Institut Camille Jordan Université Claude Bernard Lyon 1 UMR du CNRS 5208 F-69622 Villeurbanne Cedex [email protected] F. Bernicot Laboratoire de Mathématiques Université de Paris-Sud UMR du CNRS 8628 F-91405 Orsay Cedex [email protected] October 19, 2010 Abstract The purpose of this work is to describe an abstract theory of Ha...
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