Compactness for Sobolev-type trace operators

被引：8

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

页码：42 / 69

页数：28

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