On weighted critical imbeddings of Sobolev spaces

0358297 - MÚ 2012 RIV DE eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA201/06/0400
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Sobolev space * critical imbedding * weighted spaces
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.749, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0196385