Mathematical Research Letters

Volume 2, Issue 5, September 1995 pp. 577-593.

Sobolev-Poincaré implies John

Authors: S. Buckley and P. Koskela
Author institution: St. Patrick's College, and University of Jyväskylä

Summary: We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.

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