On the Bourgain, Brezis, and Mironescu T
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V. Maz'ya; T. Shaposhnikova
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Article
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2002
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Elsevier Science
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English
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The article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic behaviour of the norm of the Sobolev-type embedding operator: W s;p ! L pn=รฐnรspร as s " 1 and s " n=p: Their result is extended to all values of s 2 รฐ0; 1ร and is supplied with an elementary proof. The relati