On weighted critical imbeddings of Sobolev spaces

0358297 - MÚ 2012 RIV DE eng J - Journal Article
Edmunds, D. E. - Hudzik, H. - Krbec, Miroslav
On weighted critical imbeddings of Sobolev spaces.
Mathematische Zeitschrift. Roč. 268, 1-2 (2011), s. 585-592. ISSN 0025-5874. E-ISSN 1432-1823
R&D Projects: GA ČR(CZ) GA201/06/0400
Institutional research plan: CEZ:AV0Z10190503
Keywords : Sobolev space * critical imbedding * weighted spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.749, year: 2011
http://www.springerlink.com/content/j5l142u774666l58/

A characterization of weights which do not change an exponential space up to equivalence of norms is given. Considering radial and non-increasing weights it is shown that there exists no effective weighted improvement of the standard target for the critical imbedding of Sobolev spaces. More generally, this holds also for general Besov and Lizorkin-Triebel spaces.
Permanent Link: http://hdl.handle.net/11104/0196385