Optimal embeddings of generalized inhomogeneous Sobolev spaces on R^n
نویسندگان
چکیده
منابع مشابه
Optimal Domain Spaces in Orlicz-sobolev Embeddings
We deal with Orlicz-Sobolev embeddings in open subsets of R. A necessary and sufficient condition is established for the existence of an optimal, i.e. largest possible, Orlicz-Sobolev space continuously embedded into a given Orlicz space. Moreover, the optimal Orlicz-Sobolev space is exhibited whenever it exists. Parallel questions are addressed for Orlicz-Sobolev embeddings into Orlicz spaces ...
متن کاملOptimal Sobolev Embeddings on R
The aim of this paper is to study Sobolev-type embeddings and their optimality. We work in the frame of rearrangement-invariant norms and unbounded domains. We establish the equivalence of a Sobolev embedding to the boundedness of a certain Hardy operator on some cone of positive functions. This Hardy operator is then used to provide optimal domain and range rearrangement-invariant norm in the ...
متن کاملSobolev W 1 p-spaces on closed subsets of Rn
For each p > n we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space W 1 p (R n) to an arbitrary closed subset of Rn.
متن کاملOn approximation numbers of Sobolev embeddings of weighted function spaces
We investigate asymptotic behaviour of approximation numbers of Sobolev embeddings between weighted function spaces of Sobolev–Hardy–Besov type with polynomials weights. The exact estimates are proved in almost all cases. © 2005 Elsevier Inc. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2011
ISSN: 1331-4343
DOI: 10.7153/mia-14-62