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On weighted critical imbeddings of Sobolev spaces
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SYSNO ASEP 0358297 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On weighted critical imbeddings of Sobolev spaces Author(s) Edmunds, D. E. (GB)
Hudzik, H. (PL)
Krbec, Miroslav (MU-W) RID, SAISource Title Mathematische Zeitschrift. - : Springer - ISSN 0025-5874
Roč. 268, 1-2 (2011), s. 585-592Number of pages 8 s. Language eng - English Country DE - Germany Keywords Sobolev space ; critical imbedding ; weighted spaces Subject RIV BA - General Mathematics R&D Projects GA201/06/0400 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000290545000027 EID SCOPUS 79955939136 DOI 10.1007/s00209-010-0684-7 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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