Compactness for Sobolev-type trace operators

被引：6
|
作者：
Cavaliere, Paola [1 ]
Mihula, Zdenek [2 ]
机构：
[1] Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo II, I-84084 Fisciano, SA, Italy
[2] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 8, Czech Republic
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 183卷
关键词：
Sobolev spaces; Trace embeddings; Optimal target; Rearrangement-invariant spaces; Lorentz spaces; Orlicz spaces; Supremum operators; EMBEDDINGS; IMBEDDINGS; SPACES;
D O I：
10.1016/j.na.2019.01.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Compactness of arbitrary-order Sobolev type embeddings for traces of n-dimensional functions on lower dimensional subspaces is investigated. Sobolev spaces built upon any rearrangement-invariant norm are allowed. In particular, we characterize compactness of trace embeddings for classical Sobolev, Lorentz-Sobolev and Orlicz- Sobolev type spaces. (C) 2019 Published by Elsevier Ltd.
引用
收藏
页码：42 / 69
页数：28
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