论文标题
关于$ c^{0，γ} $域定义的Sobolev-Morrey-campanato空间的评论
Remarks on Sobolev-Morrey-Campanato spaces defined on $C^{0,γ}$ domains
论文作者
论文摘要
我们讨论了一些有关嵌入Campanato和Sobolev-Morrey空间的定理的旧结果，这些空间将配方适应了$ C^{0，γ} $的域的情况，我们提供了更多的结果，与Sobolev-Morrey空间从这些域上定义的sobolev-Morrey空间扩展了功能。作为扩展定理的推论，我们获得了在任意$ c^{0，γ} $域上Sobolev-Morrey空间的嵌入定理。
We discuss a few old results concerning embedding theorems for Campanato and Sobolev-Morrey spaces adapting the formulations to the case of domains of class $C^{0,γ}$, and we present more recent results concerning the extension of functions from Sobolev-Morrey spaces defined on those domains. As a corollary of the extension theorem we obtain an embedding theorem for Sobolev-Morrey spaces on arbitrary $C^{0,γ}$ domains.
