Sharp embeddings of Besov-type spaces

[摘要] We prove sharp embeddings of Besov spaces B-p,r(sigma,b)(R) involving both the classical smoothness sigma and a slowly varying smoothness b into Lorentz-Karamata spaces. Our methods are quite elementary, we use neither the interpolation theory nor the atomic decomposition of spaces in question. We cover both sub-limiting and limiting cases and we determine growth envelopes of spaces b B-p,r(sigma,b)(R). (c) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2007-11-01

[关键词] Besov spaces with slowly varying smoothness;Lorentz-Karamata spaces;sharp embeddings;growth envelope functions;growth envelopes