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On the stability of the $L_2$ projection in fractional Sobolev spaces

โœ Scribed by Olaf Steinbach


Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
122 KB
Volume
88
Category
Article
ISSN
0029-599X

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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=รฐnร€spรž as s " 1 and s " n=p: Their result is extended to all values of s 2 รฐ0; 1รž and is supplied with an elementary proof. The relati