Continuous and compact imbeddings of weighted Sobolev spaces. I
نویسندگان
چکیده
منابع مشابه
On weighted critical imbeddings of Sobolev spaces
Our concern in this paper lies with two aspects of weighted exponential spaces connected with their role of target spaces for critical imbeddings of Sobolev spaces. We characterize weights which do not change an exponential space up to equivalence of norms. Specifically, we first prove that Lexp tα(χB) = Lexp tα(ρ) if and only if ρq ∈ Lq with some q > 1. Second, we consider the Sobolev space W ...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولExtrapolation of Reduced Sobolev Imbeddings
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1988
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1988.102269