Real interpolation of Sobolev spaces
نویسندگان
چکیده
We prove that W 1 p is a real interpolation space between W 1 p1 and W 1 p2 for p > q0 and 1 ≤ p1 < p < p2 ≤ ∞ on some classes of manifolds and general metric spaces, where q0 depends 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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تاریخ انتشار 2008