4.6 Article

Continuity envelopes and sharp embeddings in spaces of generalized smoothness

Journal

JOURNAL OF FUNCTIONAL ANALYSIS
Volume 254, Issue 6, Pages 1487-1521

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2007.12.009

Keywords

spaces of generalized smoothness; limiting embeddings; continuity envelopes

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We study continuity envelopes in spaces of generalized smoothness B-p,q(sigma,N) (R-n) and F-p,q(sigma,N) (R-n). The results are applied in proving sharp embedding assertions in some limiting situations. (c) 2008 Elsevier Inc. All rights reserved.

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