On some formal imbeddings
نویسندگان
چکیده
منابع مشابه
On the constants for some Sobolev imbeddings
We consider the imbedding inequality ‖ ‖ Lr(R d ) ≤ Sr,n,d ‖ ‖Hn(Rd); H n(R) is the Sobolev space (or Bessel potential space) of L2 type and (integer or fractional) order n. We write down upper bounds for the constants Sr,n,d, using an argument previously applied in the literature in particular cases. We prove that the upper bounds computed in this way are in fact the sharp constants if (r = 2 ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1968
ISSN: 0019-2082
DOI: 10.1215/ijm/1256053960