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Operators on the ∞ -spaces of Bourgain and Delbaen

✍ Scribed by Beanland, Kevin; Mitchell, Lon

Book ID: 118145935
Publisher: Taylor and Francis Group
Year: 2010
Tongue: English
Weight: 135 KB
Volume: 33
Category: Article
ISSN: 1607-3606
DOI: 10.2989/16073606.2010.541614

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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