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ENTROPIC MEASURES OF NON-CLASSICAL CORRELATIONS

✍ Scribed by LANG, MATTHIAS D.; CAVES, CARLTON M.; SHAJI, ANIL

Book ID
123609579
Publisher
World Scientific Publishing Company
Year
2011
Tongue
English
Weight
538 KB
Volume
09
Category
Article
ISSN
0219-7499

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## Abstract Let Ξ© be an open subset of ℝ^__n__^ and let __p__ ∈ [1, __n__). We prove that the measure of non–compactness of the Sobolev embedding __W__^__k,p__^~0~(Ξ©) β†’ __L__^__p__\*^(Ξ©) is equal to its norm. This means that the entropy numbers of this embedding are constant and equal to the norm.