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Remarks on the Bourgain–Brezis–Mironescu Approach to Sobolev Spaces

✍ Scribed by Bojarski, B.


Book ID
120325739
Publisher
Institute of Mathematics of the Polish Academy of Sciences
Year
2011
Weight
440 KB
Volume
59
Category
Article
ISSN
0239-7269

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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=ðnÀspÞ as s " 1 and s " n=p: Their result is extended to all values of s 2 ð0; 1Þ and is supplied with an elementary proof. The relati