منابع مشابه
The Sobolev Embeddings Are Usually Sharp
Let s ∈ R and p ≥ 1; the Sobolev space Lp,s(Rd) is the space of tempered distributions f such that (Id−∆)s/2 f ∈ Lp, where (Id−∆)s/2 is the Fourier multiplier by (1 + |ξ|2)s/2. If s > d/p, then Lp,s is composed of continuous functions; more precisely, the Sobolev embeddings state that Lp,s↩Cs−d/p, see [24, Chapter 11]. In order to state in which sense this embedding is sharp, we need to recall ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2005
ISSN: 1085-3375,1687-0409
DOI: 10.1155/aaa.2005.437