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On mappings generating the embeddings of Sobolev spaces

✍ Scribed by A. D. Ukhlov


Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
400 KB
Volume
34
Category
Article
ISSN
0037-4466

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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=Γ°nΓ€spÞ as s " 1 and s " n=p: Their result is extended to all values of s 2 Γ°0; 1Þ and is supplied with an elementary proof. The relati